3975956304000 has 1024 divisors, whose sum is σ = 13856989386240. Its totient is φ = 1007616000000.

The previous prime is 3975956303971. The next prime is 3975956304119. The reversal of 3975956304000 is 4036595793.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16497743880 + ... + 16497744120.

Almost surely, 2^{3975956304000} is an apocalyptic number.

3975956304000 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 3975956304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6928494693120).

3975956304000 is an abundant number, since it is smaller than the sum of its proper divisors (9881033082240).

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

3975956304000 is a wasteful number, since it uses less digits than its factorization.

3975956304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 51.

The spelling of 3975956304000 in words is "three trillion, nine hundred seventy-five billion, nine hundred fifty-six million, three hundred four thousand".