3933957130272 has 384 divisors, whose sum is σ = 12764003696640. Its totient is φ = 1170599040000.

The previous prime is 3933957130253. The next prime is 3933957130283. The reversal of 3933957130272 is 2720317593393.

3933957130272 is a `hidden beast` number, since 3 + 9 + 3 + 39 + 571 + 30 + 2 + 7 + 2 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 679319697 + ... + 679325487.

It is an arithmetic number, because the mean of its divisors is an integer number (33239592960).

Almost surely, 2^{3933957130272} is an apocalyptic number.

3933957130272 is a gapful number since it is divisible by the number (32) 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 3933957130272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6382001848320).

3933957130272 is an abundant number, since it is smaller than the sum of its proper divisors (8830046566368).

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

3933957130272 is a wasteful number, since it uses less digits than its factorization.

3933957130272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7805 (or 7791 counting only the distinct ones).

The product of its (nonzero) digits is 6429780, while the sum is 54.

The spelling of 3933957130272 in words is "three trillion, nine hundred thirty-three billion, nine hundred fifty-seven million, one hundred thirty thousand, two hundred seventy-two".