3664278800 has 360 divisors, whose sum is σ = 11236296456. Its totient is φ = 1137991680.

The previous prime is 3664278791. The next prime is 3664278811. The reversal of 3664278800 is 88724663.

It can be written as a sum of positive squares in 12 ways, for example, as 490533904 + 3173744896 = 22148^2 + 56336^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18600302 + ... + 18600498.

Almost surely, 2^3664278800 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 3664278800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5618148228).

3664278800 is an abundant number, since it is smaller than the sum of its proper divisors (7572017656).

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

3664278800 is a wasteful number, since it uses less digits than its factorization.

3664278800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The square root of 3664278800 is about 60533.2867107016. The cubic root of 3664278800 is about 1541.6868568413.

The spelling of 3664278800 in words is "three billion, six hundred sixty-four million, two hundred seventy-eight thousand, eight hundred".