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3840685824 = 28341283431
BaseRepresentation
bin1110010011101100…
…0011011100000000
3100220122221001111010
43210323003130000
530331203421244
61433035120520
7164114201523
oct34473033400
910818831433
103840685824
1116a0a70118
128b22a3140
13492911181
14286122bba
151772a5eb9
hexe4ec3700

3840685824 has 144 divisors (see below), whose sum is σ = 10532519424. Its totient is φ = 1241702400.

The previous prime is 3840685817. The next prime is 3840685837. The reversal of 3840685824 is 4285860483.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8910889 + ... + 8911319.

It is an arithmetic number, because the mean of its divisors is an integer number (73142496).

Almost surely, 23840685824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3840685824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5266259712).

3840685824 is an abundant number, since it is smaller than the sum of its proper divisors (6691833600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3840685824 is a wasteful number, since it uses less digits than its factorization.

3840685824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The square root of 3840685824 is about 61973.2670108653. The cubic root of 3840685824 is about 1566.0402769661.

The spelling of 3840685824 in words is "three billion, eight hundred forty million, six hundred eighty-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 283 328 384 431 492 566 656 768 849 862 984 1132 1293 1312 1698 1724 1968 2264 2586 2624 3396 3448 3936 4528 5172 5248 6792 6896 7872 9056 10344 10496 11603 13584 13792 15744 17671 18112 20688 23206 27168 27584 31488 34809 35342 36224 41376 46412 53013 54336 55168 69618 70684 72448 82752 92824 106026 108672 110336 121973 139236 141368 165504 185648 212052 217344 243946 278472 282736 331008 365919 371296 424104 487892 556944 565472 731838 742592 848208 975784 1113888 1130944 1463676 1485184 1696416 1951568 2227776 2261888 2927352 2970368 3392832 3903136 4455552 4523776 5000893 5854704 6785664 7806272 8911104 10001786 11709408 13571328 15002679 15612544 20003572 23418816 30005358 31225088 40007144 46837632 60010716 80014288 93675264 120021432 160028576 240042864 320057152 480085728 640114304 960171456 1280228608 1920342912 3840685824