3964680 has 64 divisors (see below), whose sum is σ = 13219200. Its totient is φ = 1056960.

The previous prime is 3964679. The next prime is 3964693. The reversal of 3964680 is 864693.

3964680 = 180² + 181² + ... + 260².

3964680 is a `hidden beast` number, since 3 + 9 + 646 + 8 + 0 = 666.

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

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, 756 + ... + 2915.

It is an arithmetic number, because the mean of its divisors is an integer number (206550).

Almost surely, 2^3964680 is an apocalyptic number.

3964680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3964680 is an abundant number, since it is smaller than the sum of its proper divisors (9254520).

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

3964680 is a wasteful number, since it uses less digits than its factorization.

3964680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3691 (or 3681 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3964680 is about 1991.1504212389. The cubic root of 3964680 is about 158.2714981687.

The spelling of 3964680 in words is "three million, nine hundred sixty-four thousand, six hundred eighty".