3624074640 has 60 divisors (see below), whose sum is σ = 12170853084. Its totient is φ = 966419712.

The previous prime is 3624074621. The next prime is 3624074653. The reversal of 3624074640 is 464704263.

3624074640 is a `hidden beast` number, since 3 + 6 + 2 + 4 + 0 + 7 + 4 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2118945024 + 1505129616 = 46032^2 + 38796^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×3624074640² = 26267833992582259200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3624074595 and 3624074604.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2515999 + ... + 2517438.

Almost surely, 2^3624074640 is an apocalyptic number.

3624074640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3624074640 is an abundant number, since it is smaller than the sum of its proper divisors (8546778444).

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

3624074640 is a wasteful number, since it uses less digits than its factorization.

3624074640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5033456 (or 5033447 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 3624074640 is about 60200.2877069537. The cubic root of 3624074640 is about 1536.0276891167.

The spelling of 3624074640 in words is "three billion, six hundred twenty-four million, seventy-four thousand, six hundred forty".