3640224040 has 16 divisors (see below), whose sum is σ = 8190504180. Its totient is φ = 1456089600.

The previous prime is 3640224037. The next prime is 3640224061. The reversal of 3640224040 is 404220463.

3640224040 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 2 ways, for example, as 2963495844 + 676728196 = 54438^2 + 26014^2 .

It is a super-2 number, since 2×3640224040² = 26502462122787843200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3640223996 and 3640224014.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45502761 + ... + 45502840.

Almost surely, 2^3640224040 is an apocalyptic number.

It is an amenable number.

3640224040 is an abundant number, since it is smaller than the sum of its proper divisors (4550280140).

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

3640224040 is a wasteful number, since it uses less digits than its factorization.

3640224040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91005612 (or 91005608 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 3640224040 is about 60334.2692008447. The cubic root of 3640224040 is about 1538.3058955288.

The spelling of 3640224040 in words is "three billion, six hundred forty million, two hundred twenty-four thousand, forty".