3651599952 has 720 divisors, whose sum is σ = 14407411200. Its totient is φ = 856880640.

The previous prime is 3651599927. The next prime is 3651600011. The reversal of 3651599952 is 2599951563.

It is a happy number.

3651599952 is a `hidden beast` number, since 36 + 515 + 9 + 9 + 95 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 77693593 + ... + 77693639.

Almost surely, 2^3651599952 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 3651599952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7203705600).

3651599952 is an abundant number, since it is smaller than the sum of its proper divisors (10755811248).

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

3651599952 is a wasteful number, since it uses less digits than its factorization.

3651599952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 83 counting only the distinct ones).

The product of its digits is 3280500, while the sum is 54.

The square root of 3651599952 is about 60428.4697142001. The cubic root of 3651599952 is about 1539.9066610095.

The spelling of 3651599952 in words is "three billion, six hundred fifty-one million, five hundred ninety-nine thousand, nine hundred fifty-two".