3664180800 has 630 divisors, whose sum is σ = 15694716642. Its totient is φ = 836075520.

The previous prime is 3664180789. The next prime is 3664180823. The reversal of 3664180800 is 80814663.

It is a happy number.

3664180800 is a `hidden beast` number, since 3 + 6 + 641 + 8 + 0 + 8 + 0 + 0 = 666.

3664180800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1174569984 + 2489610816 = 34272^2 + 49896^2 .

It is a tau number, because it is divible by the number of its divisors (630).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 6350112 + ... + 6350688.

Almost surely, 2^3664180800 is an apocalyptic number.

3664180800 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 3664180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7847358321).

3664180800 is an abundant number, since it is smaller than the sum of its proper divisors (12030535842).

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

3664180800 is a wasteful number, since it uses less digits than its factorization.

3664180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3664180800 is about 60532.4772333001. The cubic root of 3664180800 is about 1541.6731127399.

The spelling of 3664180800 in words is "three billion, six hundred sixty-four million, one hundred eighty thousand, eight hundred".