3643680 has 48 divisors (see below), whose sum is σ = 11479104. Its totient is φ = 971520.

The previous prime is 3643669. The next prime is 3643681. The reversal of 3643680 is 863463.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3643681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3316 + ... + 4275.

It is an arithmetic number, because the mean of its divisors is an integer number (239148).

Almost surely, 2^3643680 is an apocalyptic number.

3643680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3643680 is an abundant number, since it is smaller than the sum of its proper divisors (7835424).

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

3643680 is a wasteful number, since it uses less digits than its factorization.

3643680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7609 (or 7601 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 3643680 is about 1908.8425812518. The cubic root of 3643680 is about 153.8792554414.

Subtracting from 3643680 its sum of digits (30), we obtain a triangular number (3643650 = T₂₆₉₉).

The spelling of 3643680 in words is "three million, six hundred forty-three thousand, six hundred eighty".