3645332880 has 80 divisors (see below), whose sum is σ = 12914899584. Its totient is φ = 833218560.

The previous prime is 3645332863. The next prime is 3645332881. The reversal of 3645332880 is 882335463.

It is a happy number.

3645332880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (3645332881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1083241 + ... + 1086600.

Almost surely, 2^3645332880 is an apocalyptic number.

3645332880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3645332880 is an abundant number, since it is smaller than the sum of its proper divisors (9269566704).

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

3645332880 is a wasteful number, since it uses less digits than its factorization.

3645332880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169864 (or 2169858 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 3645332880 is about 60376.5921529197. The cubic root of 3645332880 is about 1539.0251997017.

The spelling of 3645332880 in words is "three billion, six hundred forty-five million, three hundred thirty-two thousand, eight hundred eighty".