3679608000 has 224 divisors, whose sum is σ = 12248570880. Its totient is φ = 973286400.

The previous prime is 3679607999. The next prime is 3679608047. The reversal of 3679608000 is 8069763.

It is a self number, because there is not a number n which added to its sum of digits gives 3679608000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3335449 + ... + 3336551.

It is an arithmetic number, because the mean of its divisors is an integer number (54681120).

Almost surely, 2^3679608000 is an apocalyptic number.

3679608000 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 3679608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6124285440).

3679608000 is an abundant number, since it is smaller than the sum of its proper divisors (8568962880).

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

3679608000 is a wasteful number, since it uses less digits than its factorization.

3679608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 3679608000 is about 60659.7725020462. The cubic root of 3679608000 is about 1543.8337046955.

The spelling of 3679608000 in words is "three billion, six hundred seventy-nine million, six hundred eight thousand".