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3721641216 = 2839195273
BaseRepresentation
bin1101110111010011…
…1011110100000000
3100121100220221222120
43131310323310000
530110220004331
61413143404240
7161140266636
oct33564736400
910540827876
103721641216
11163a851147
1287a453680
13474060087
142743b5356
1516badd796
hexddd3bd00

3721641216 has 72 divisors (see below), whose sum is σ = 9917651520. Its totient is φ = 1238962176.

The previous prime is 3721641211. The next prime is 3721641223. The reversal of 3721641216 is 6121461273.

It is a super-2 number, since 2×37216412162 = 27701226681259917312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3721641211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 703156 + ... + 708428.

It is an arithmetic number, because the mean of its divisors is an integer number (137745160).

Almost surely, 23721641216 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 3721641216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4958825760).

3721641216 is an abundant number, since it is smaller than the sum of its proper divisors (6196010304).

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

3721641216 is an equidigital number, since it uses as much as digits as its factorization.

3721641216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6211 (or 6197 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 3721641216 is about 61005.2556424444. The cubic root of 3721641216 is about 1549.6900130701.

The spelling of 3721641216 in words is "three billion, seven hundred twenty-one million, six hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 919 1838 2757 3676 5273 5514 7352 10546 11028 14704 15819 21092 22056 29408 31638 42184 44112 58816 63276 84368 88224 117632 126552 168736 176448 235264 253104 337472 352896 506208 674944 705792 1012416 1349888 2024832 4049664 4845887 9691774 14537661 19383548 29075322 38767096 58150644 77534192 116301288 155068384 232602576 310136768 465205152 620273536 930410304 1240547072 1860820608 3721641216