3657332448 has 576 divisors, whose sum is σ = 13812664320. Its totient is φ = 897684480.

The previous prime is 3657332443. The next prime is 3657332453. The reversal of 3657332448 is 8442337563.

3657332448 is a `hidden beast` number, since 3 + 6 + 573 + 32 + 4 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (3657332443) and next prime (3657332453).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3657332443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77815561 + ... + 77815607.

It is an arithmetic number, because the mean of its divisors is an integer number (23980320).

Almost surely, 2^3657332448 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 3657332448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6906332160).

3657332448 is an abundant number, since it is smaller than the sum of its proper divisors (10155331872).

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

3657332448 is a wasteful number, since it uses less digits than its factorization.

3657332448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 99 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The square root of 3657332448 is about 60475.8831932201. The cubic root of 3657332448 is about 1540.7120516694.

The spelling of 3657332448 in words is "three billion, six hundred fifty-seven million, three hundred thirty-two thousand, four hundred forty-eight".