3627628312 has 128 divisors (see below), whose sum is σ = 8636544000. Its totient is φ = 1387584000.

The previous prime is 3627628309. The next prime is 3627628321. The reversal of 3627628312 is 2138267263.

It is a congruent number.

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, 12380838 + ... + 12381130.

It is an arithmetic number, because the mean of its divisors is an integer number (67473000).

Almost surely, 2^3627628312 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 3627628312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4318272000).

3627628312 is an abundant number, since it is smaller than the sum of its proper divisors (5008915688).

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

3627628312 is a wasteful number, since it uses less digits than its factorization.

3627628312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 613 counting only the distinct ones).

The product of its digits is 145152, while the sum is 40.

The square root of 3627628312 is about 60229.7958821047. The cubic root of 3627628312 is about 1536.5295878483.

The spelling of 3627628312 in words is "three billion, six hundred twenty-seven million, six hundred twenty-eight thousand, three hundred twelve".