3957047640 has 320 divisors, whose sum is σ = 16370544960. Its totient is φ = 834831360.

The previous prime is 3957047639. The next prime is 3957047707. The reversal of 3957047640 is 467407593.

3957047640 is a `hidden beast` number, since 3 + 9 + 570 + 4 + 76 + 4 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 288130 + ... + 301550.

It is an arithmetic number, because the mean of its divisors is an integer number (51157953).

Almost surely, 2^3957047640 is an apocalyptic number.

3957047640 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 3957047640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8185272480).

3957047640 is an abundant number, since it is smaller than the sum of its proper divisors (12413497320).

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

3957047640 is a wasteful number, since it uses less digits than its factorization.

3957047640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13464 (or 13451 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 3957047640 is about 62905.0684762365. The cubic root of 3957047640 is about 1581.6987071151.

The spelling of 3957047640 in words is "three billion, nine hundred fifty-seven million, forty-seven thousand, six hundred forty".