3970876320 has 144 divisors (see below), whose sum is σ = 14347798920. Its totient is φ = 996605952.

The previous prime is 3970876279. The next prime is 3970876369. The reversal of 3970876320 is 236780793.

It is a happy number.

3970876320 is a `hidden beast` number, since 3 + 9 + 7 + 0 + 8 + 7 + 632 + 0 = 666.

3970876320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3964465296 + 6411024 = 62964^2 + 2532^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56625 + ... + 105584.

Almost surely, 2^3970876320 is an apocalyptic number.

3970876320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3970876320 is an abundant number, since it is smaller than the sum of its proper divisors (10376922600).

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

3970876320 is a wasteful number, since it uses less digits than its factorization.

3970876320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162247 (or 162236 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 3970876320 is about 63014.8896690298. The cubic root of 3970876320 is about 1583.5390838314.

The spelling of 3970876320 in words is "three billion, nine hundred seventy million, eight hundred seventy-six thousand, three hundred twenty".