3764624640 has 144 divisors (see below), whose sum is σ = 13740978048. Its totient is φ = 860479488.

The previous prime is 3764624629. The next prime is 3764624663. The reversal of 3764624640 is 464264673.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3764624592 and 3764624601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43147 + ... + 96906.

Almost surely, 2^3764624640 is an apocalyptic number.

3764624640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3764624640 is an abundant number, since it is smaller than the sum of its proper divisors (9976353408).

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

3764624640 is a wasteful number, since it uses less digits than its factorization.

3764624640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140084 (or 140070 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 42.

The square root of 3764624640 is about 61356.5370600395. The cubic root of 3764624640 is about 1555.6332845815.

The spelling of 3764624640 in words is "three billion, seven hundred sixty-four million, six hundred twenty-four thousand, six hundred forty".