3643635157008 has 960 divisors, whose sum is σ = 13011583205376. Its totient is φ = 856140595200.

The previous prime is 3643635157007. The next prime is 3643635157021. The reversal of 3643635157008 is 8007515363463.

It is a super-3 number, since 3×3643635157008³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (3643635157007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3706647685 + ... + 3706648667.

Almost surely, 2^{3643635157008} 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 3643635157008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6505791602688).

3643635157008 is an abundant number, since it is smaller than the sum of its proper divisors (9367948048368).

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

3643635157008 is a wasteful number, since it uses less digits than its factorization.

3643635157008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 51.

The spelling of 3643635157008 in words is "three trillion, six hundred forty-three billion, six hundred thirty-five million, one hundred fifty-seven thousand, eight".