3643080 has 64 divisors (see below), whose sum is σ = 12493440. Its totient is φ = 832512.

The previous prime is 3643063. The next prime is 3643099. The reversal of 3643080 is 803463.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3643080.

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, 1329 + ... + 3008.

It is an arithmetic number, because the mean of its divisors is an integer number (195210).

Almost surely, 2^3643080 is an apocalyptic number.

3643080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3643080 is an abundant number, since it is smaller than the sum of its proper divisors (8850360).

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

3643080 is a wasteful number, since it uses less digits than its factorization.

3643080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4358 (or 4354 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3643080 is about 1908.6854114809. The cubic root of 3643080 is about 153.8708086128.

The spelling of 3643080 in words is "three million, six hundred forty-three thousand, eighty".