3970614400 has 48 divisors (see below), whose sum is σ = 9808666290. Its totient is φ = 1588244480.

The previous prime is 3970614317. The next prime is 3970614413. The reversal of 3970614400 is 44160793.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3574126656 + 396487744 = 59784^2 + 19912^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 617209 + ... + 623608.

Almost surely, 2^3970614400 is an apocalyptic number.

It is an amenable number.

3970614400 is an abundant number, since it is smaller than the sum of its proper divisors (5838051890).

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

3970614400 is a wasteful number, since it uses less digits than its factorization.

3970614400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240841 (or 1240824 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 3970614400 is about 63012.8113957789. The cubic root of 3970614400 is about 1583.5042661873.

The spelling of 3970614400 in words is "three billion, nine hundred seventy million, six hundred fourteen thousand, four hundred".