3642331680 has 144 divisors (see below), whose sum is σ = 13385637720. Its totient is φ = 896569344.

The previous prime is 3642331669. The next prime is 3642331687. The reversal of 3642331680 is 861332463.

3642331680 is a `hidden beast` number, since 3 + 642 + 3 + 3 + 1 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3082914576 + 559417104 = 55524^2 + 23652^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (3642331687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78565 + ... + 116004.

Almost surely, 2^3642331680 is an apocalyptic number.

3642331680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3642331680 is an abundant number, since it is smaller than the sum of its proper divisors (9743306040).

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

3642331680 is a wasteful number, since it uses less digits than its factorization.

3642331680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194603 (or 194592 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3642331680 is about 60351.7330322833. The cubic root of 3642331680 is about 1538.6027242839.

The spelling of 3642331680 in words is "three billion, six hundred forty-two million, three hundred thirty-one thousand, six hundred eighty".