3664084160 has 112 divisors (see below), whose sum is σ = 9540191232. Its totient is φ = 1329331200.

The previous prime is 3664084147. The next prime is 3664084183. The reversal of 3664084160 is 614804663.

3664084160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2009009 + ... + 2010831.

Almost surely, 2^3664084160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3664084160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4770095616).

3664084160 is an abundant number, since it is smaller than the sum of its proper divisors (5876107072).

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

3664084160 is a wasteful number, since it uses less digits than its factorization.

3664084160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The square root of 3664084160 is about 60531.6789788620. The cubic root of 3664084160 is about 1541.6595591329.

The spelling of 3664084160 in words is "three billion, six hundred sixty-four million, eighty-four thousand, one hundred sixty".