3677304960 has 768 divisors, whose sum is σ = 15655939200. Its totient is φ = 812851200.

The previous prime is 3677304959. The next prime is 3677304979. The reversal of 3677304960 is 694037763.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36408910 + ... + 36409010.

Almost surely, 2^3677304960 is an apocalyptic number.

3677304960 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 3677304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7827969600).

3677304960 is an abundant number, since it is smaller than the sum of its proper divisors (11978634240).

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

3677304960 is a wasteful number, since it uses less digits than its factorization.

3677304960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The square root of 3677304960 is about 60640.7862745859. The cubic root of 3677304960 is about 1543.5115460287.

The spelling of 3677304960 in words is "three billion, six hundred seventy-seven million, three hundred four thousand, nine hundred sixty".