3664080 has 120 divisors (see below), whose sum is σ = 14082432. Its totient is φ = 836352.

The previous prime is 3664069. The next prime is 3664081. The reversal of 3664080 is 804663.

3664080 is digitally balanced in base 8, 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 (120).

3664080 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3664081) 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, 4677 + ... + 5403.

Almost surely, 2^3664080 is an apocalyptic number.

3664080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3664080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7041216).

3664080 is an abundant number, since it is smaller than the sum of its proper divisors (10418352).

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

3664080 is a wasteful number, since it uses less digits than its factorization.

3664080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3664080 is about 1914.1786750458. The cubic root of 3664080 is about 154.1658975694.

The spelling of 3664080 in words is "three million, six hundred sixty-four thousand, eighty".