3692648960 has 480 divisors, whose sum is σ = 12068977536. Its totient is φ = 1054310400.

The previous prime is 3692648957. The next prime is 3692648963. The reversal of 3692648960 is 698462963.

It is an interprime number because it is at equal distance from previous prime (3692648957) and next prime (3692648963).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3692648963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28188095 + ... + 28188225.

Almost surely, 2^3692648960 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 3692648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6034488768).

3692648960 is an abundant number, since it is smaller than the sum of its proper divisors (8376328576).

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

3692648960 is a wasteful number, since it uses less digits than its factorization.

3692648960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 53.

The square root of 3692648960 is about 60767.1700838537. The cubic root of 3692648960 is about 1545.6553965402.

The spelling of 3692648960 in words is "three billion, six hundred ninety-two million, six hundred forty-eight thousand, nine hundred sixty".