3712636008 has 144 divisors (see below), whose sum is σ = 10444938660. Its totient is φ = 1190891520.

The previous prime is 3712636007. The next prime is 3712636019. The reversal of 3712636008 is 8006362173.

It is a happy number.

3712636008 is a `hidden beast` number, since 3 + 7 + 12 + 636 + 0 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3711002724 + 1633284 = 60918^2 + 1278^2 .

It is a super-2 number, since 2×3712636008² = 27567332255796352128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3712636003) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19236360 + ... + 19236552.

Almost surely, 2^3712636008 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 3712636008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5222469330).

3712636008 is an abundant number, since it is smaller than the sum of its proper divisors (6732302652).

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

3712636008 is a wasteful number, since it uses less digits than its factorization.

3712636008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3712636008 is about 60931.4041197148. The cubic root of 3712636008 is about 1548.4390818229.

The spelling of 3712636008 in words is "three billion, seven hundred twelve million, six hundred thirty-six thousand, eight".