3925956833280 has 1664 divisors, whose sum is σ = 15289391370240. Its totient is φ = 964878925824.

The previous prime is 3925956833269. The next prime is 3925956833377. The reversal of 3925956833280 is 823386595293.

3925956833280 is a `hidden beast` number, since 3 + 9 + 2 + 595 + 6 + 8 + 3 + 32 + 8 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 38116085709 + ... + 38116085811.

It is an arithmetic number, because the mean of its divisors is an integer number (9188336160).

Almost surely, 2^{3925956833280} is an apocalyptic number.

3925956833280 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 3925956833280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7644695685120).

3925956833280 is an abundant number, since it is smaller than the sum of its proper divisors (11363434536960).

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

3925956833280 is an equidigital number, since it uses as much as digits as its factorization.

3925956833280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 3925956833280 in words is "three trillion, nine hundred twenty-five billion, nine hundred fifty-six million, eight hundred thirty-three thousand, two hundred eighty".