3627749952 has 504 divisors, whose sum is σ = 12326762240. Its totient is φ = 1015234560.

The previous prime is 3627749897. The next prime is 3627750011. The reversal of 3627749952 is 2599477263.

3627749952 is a `hidden beast` number, since 3 + 627 + 7 + 4 + 9 + 9 + 5 + 2 = 666.

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, 98047278 + ... + 98047314.

Almost surely, 2^3627749952 is an apocalyptic number.

3627749952 is a gapful number since it is divisible by the number (32) 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 3627749952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6163381120).

3627749952 is an abundant number, since it is smaller than the sum of its proper divisors (8699012288).

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

3627749952 is a wasteful number, since it uses less digits than its factorization.

3627749952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 109 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The square root of 3627749952 is about 60230.8056728449. The cubic root of 3627749952 is about 1536.5467617293.

The spelling of 3627749952 in words is "three billion, six hundred twenty-seven million, seven hundred forty-nine thousand, nine hundred fifty-two".