3653580096 has 168 divisors, whose sum is σ = 10814023584. Its totient is φ = 1178496000.

The previous prime is 3653580079. The next prime is 3653580137. The reversal of 3653580096 is 6900853563.

3653580096 is a `hidden beast` number, since 3 + 65 + 3 + 580 + 0 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5348971 + ... + 5349653.

It is an arithmetic number, because the mean of its divisors is an integer number (64369188).

Almost surely, 2^3653580096 is an apocalyptic number.

3653580096 is a gapful number since it is divisible by the number (36) 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 3653580096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5407011792).

3653580096 is an abundant number, since it is smaller than the sum of its proper divisors (7160443488).

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

3653580096 is a wasteful number, since it uses less digits than its factorization.

3653580096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 3653580096 is about 60444.8516914385. The cubic root of 3653580096 is about 1540.1849578268.

The spelling of 3653580096 in words is "three billion, six hundred fifty-three million, five hundred eighty thousand, ninety-six".