3958931259360 has 720 divisors, whose sum is σ = 17551310581728. Its totient is φ = 822632785920.

The previous prime is 3958931259329. The next prime is 3958931259379. The reversal of 3958931259360 is 639521398593.

3958931259360 is a `hidden beast` number, since 3 + 9 + 5 + 8 + 9 + 31 + 2 + 593 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10796794 + ... + 11157446.

Almost surely, 2^{3958931259360} is an apocalyptic number.

3958931259360 is a gapful number since it is divisible by the number (30) 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 3958931259360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8775655290864).

3958931259360 is an abundant number, since it is smaller than the sum of its proper divisors (13592379322368).

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

3958931259360 is a wasteful number, since it uses less digits than its factorization.

3958931259360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360709 (or 360681 counting only the distinct ones).

The product of its (nonzero) digits is 47239200, while the sum is 63.

The spelling of 3958931259360 in words is "three trillion, nine hundred fifty-eight billion, nine hundred thirty-one million, two hundred fifty-nine thousand, three hundred sixty".