3976489670400 has 864 divisors, whose sum is σ = 16037560197120. Its totient is φ = 957976657920.

The previous prime is 3976489670317. The next prime is 3976489670431. The reversal of 3976489670400 is 40769846793.

3976489670400 is a `hidden beast` number, since 3 + 9 + 76 + 4 + 8 + 96 + 70 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105561969 + ... + 105599631.

Almost surely, 2^{3976489670400} is an apocalyptic number.

3976489670400 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 3976489670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8018780098560).

3976489670400 is an abundant number, since it is smaller than the sum of its proper divisors (12061070526720).

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

3976489670400 is a wasteful number, since it uses less digits than its factorization.

3976489670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37758 (or 37733 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 3976489670400 in words is "three trillion, nine hundred seventy-six billion, four hundred eighty-nine million, six hundred seventy thousand, four hundred".