3971870400 has 84 divisors (see below), whose sum is σ = 13031060552. Its totient is φ = 1059164160.

The previous prime is 3971870377. The next prime is 3971870423. The reversal of 3971870400 is 40781793.

It is an interprime number because it is at equal distance from previous prime (3971870377) and next prime (3971870423).

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 11 ways as a sum of consecutive naturals, for example, 408937 + ... + 418536.

Almost surely, 2^3971870400 is an apocalyptic number.

3971870400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3971870400 is an abundant number, since it is smaller than the sum of its proper divisors (9059190152).

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

3971870400 is a wasteful number, since it uses less digits than its factorization.

3971870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827498 (or 827483 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 3971870400 is about 63022.7768350459. The cubic root of 3971870400 is about 1583.6712153027.

The spelling of 3971870400 in words is "three billion, nine hundred seventy-one million, eight hundred seventy thousand, four hundred".