3627916320 has 192 divisors, whose sum is σ = 13183865856. Its totient is φ = 821406720.

The previous prime is 3627916301. The next prime is 3627916349. The reversal of 3627916320 is 236197263.

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, 354475 + ... + 364565.

It is an arithmetic number, because the mean of its divisors is an integer number (68665968).

Almost surely, 2^3627916320 is an apocalyptic number.

3627916320 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 3627916320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6591932928).

3627916320 is an abundant number, since it is smaller than the sum of its proper divisors (9555949536).

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

3627916320 is a wasteful number, since it uses less digits than its factorization.

3627916320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10223 (or 10215 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 3627916320 is about 60232.1867442981. The cubic root of 3627916320 is about 1536.5702499619.

The spelling of 3627916320 in words is "three billion, six hundred twenty-seven million, nine hundred sixteen thousand, three hundred twenty".