3997958114304 has 2112 divisors, whose sum is σ = 15821372915712. Its totient is φ = 978208358400.

The previous prime is 3997958114231. The next prime is 3997958114317. The reversal of 3997958114304 is 4034118597993.

3997958114304 is a `hidden beast` number, since 3 + 9 + 9 + 7 + 9 + 581 + 1 + 43 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31479985089 + ... + 31479985215.

Almost surely, 2^{3997958114304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3997958114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7910686457856).

3997958114304 is an abundant number, since it is smaller than the sum of its proper divisors (11823414801408).

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

3997958114304 is a wasteful number, since it uses less digits than its factorization.

3997958114304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 3997958114304 in words is "three trillion, nine hundred ninety-seven billion, nine hundred fifty-eight million, one hundred fourteen thousand, three hundred four".