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3960888336 = 24351079521
BaseRepresentation
bin1110110000010110…
…0101110000010000
3101020001002222100000
43230011211300100
531102441411321
61453011330000
7200103665256
oct35405456020
911201088300
103960888336
111752900039
129265b0900
134b17a9312
142980925d6
15182aeb826
hexec165c10

3960888336 has 120 divisors (see below), whose sum is σ = 11604194784. Its totient is φ = 1307819520.

The previous prime is 3960888311. The next prime is 3960888389. The reversal of 3960888336 is 6338880693.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 411256 + ... + 420776.

Almost surely, 23960888336 is an apocalyptic number.

3960888336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3960888336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5802097392).

3960888336 is an abundant number, since it is smaller than the sum of its proper divisors (7643306448).

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

3960888336 is a wasteful number, since it uses less digits than its factorization.

3960888336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9651 (or 9633 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The square root of 3960888336 is about 62935.5887872673. The cubic root of 3960888336 is about 1582.2102719743.

The spelling of 3960888336 in words is "three billion, nine hundred sixty million, eight hundred eighty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 107 108 144 162 214 216 243 321 324 428 432 486 642 648 856 963 972 1284 1296 1712 1926 1944 2568 2889 3852 3888 5136 5778 7704 8667 9521 11556 15408 17334 19042 23112 26001 28563 34668 38084 46224 52002 57126 69336 76168 85689 104004 114252 138672 152336 171378 208008 228504 257067 342756 416016 457008 514134 685512 771201 1018747 1028268 1371024 1542402 2037494 2056536 2313603 3056241 3084804 4074988 4113072 4627206 6112482 6169608 8149976 9168723 9254412 12224964 12339216 16299952 18337446 18508824 24449928 27506169 36674892 37017648 48899856 55012338 73349784 82518507 110024676 146699568 165037014 220049352 247555521 330074028 440098704 495111042 660148056 990222084 1320296112 1980444168 3960888336