3957264 has 30 divisors (see below), whose sum is σ = 11075246. Its totient is φ = 1319040.

The previous prime is 3957251. The next prime is 3957269. The reversal of 3957264 is 4627593.

3957264 is a `hidden beast` number, since 395 + 7 + 264 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3920400 + 36864 = 1980^2 + 192^2 .

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a d-powerful number, because it can be written as 3 + 9³ + 5⁹ + 7⁷ + 2¹⁷ + 6³ + 4¹⁰ .

It is not an unprimeable number, because it can be changed into a prime (3957269) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13597 + ... + 13884.

Almost surely, 2^3957264 is an apocalyptic number.

It is an amenable number.

3957264 is an abundant number, since it is smaller than the sum of its proper divisors (7117982).

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

3957264 is a wasteful number, since it uses less digits than its factorization.

3957264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27495 (or 27486 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 3957264 is about 1989.2873095659. The cubic root of 3957264 is about 158.1727534171.

The spelling of 3957264 in words is "three million, nine hundred fifty-seven thousand, two hundred sixty-four".