3640993104 has 320 divisors, whose sum is σ = 11959234560. Its totient is φ = 930631680.

The previous prime is 3640993079. The next prime is 3640993157. The reversal of 3640993104 is 4013990463.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20115894 + ... + 20116074.

It is an arithmetic number, because the mean of its divisors is an integer number (37372608).

Almost surely, 2^3640993104 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 3640993104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5979617280).

3640993104 is an abundant number, since it is smaller than the sum of its proper divisors (8318241456).

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

3640993104 is a wasteful number, since it uses less digits than its factorization.

3640993104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 3640993104 is about 60340.6422239605. The cubic root of 3640993104 is about 1538.4142196656.

The spelling of 3640993104 in words is "three billion, six hundred forty million, nine hundred ninety-three thousand, one hundred four".