3653664100 has 72 divisors (see below), whose sum is σ = 8069171040. Its totient is φ = 1435653120.

The previous prime is 3653664041. The next prime is 3653664107. The reversal of 3653664100 is 14663563.

It is a super-2 number, since 2×3653664100² = 26698522711257620000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3653664107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3932436 + ... + 3933364.

It is an arithmetic number, because the mean of its divisors is an integer number (112071820).

Almost surely, 2^3653664100 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 3653664100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4034585520).

3653664100 is an abundant number, since it is smaller than the sum of its proper divisors (4415506940).

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

3653664100 is a wasteful number, since it uses less digits than its factorization.

3653664100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

The square root of 3653664100 is about 60445.5465687920. The cubic root of 3653664100 is about 1540.1967618384.

The spelling of 3653664100 in words is "three billion, six hundred fifty-three million, six hundred sixty-four thousand, one hundred".