3976899379200 has 1800 divisors, whose sum is σ = 17044039205424. Its totient is φ = 905969664000.

The previous prime is 3976899379199. The next prime is 3976899379231. The reversal of 3976899379200 is 29739986793.

3976899379200 is a `hidden beast` number, since 3 + 97 + 68 + 99 + 379 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6204210880 + ... + 6204211520.

Almost surely, 2^{3976899379200} is an apocalyptic number.

3976899379200 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 3976899379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8522019602712).

3976899379200 is an abundant number, since it is smaller than the sum of its proper divisors (13067139826224).

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

3976899379200 is a wasteful number, since it uses less digits than its factorization.

3976899379200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 277766496, while the sum is 72.

The spelling of 3976899379200 in words is "three trillion, nine hundred seventy-six billion, eight hundred ninety-nine million, three hundred seventy-nine thousand, two hundred".