3657374672 has 80 divisors (see below), whose sum is σ = 8439043200. Its totient is φ = 1502323200.

The previous prime is 3657374663. The next prime is 3657374681. The reversal of 3657374672 is 2764737563.

It is an interprime number because it is at equal distance from previous prime (3657374663) and next prime (3657374681).

It is a self number, because there is not a number n which added to its sum of digits gives 3657374672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447422 + ... + 455522.

It is an arithmetic number, because the mean of its divisors is an integer number (105488040).

Almost surely, 2^3657374672 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 3657374672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4219521600).

3657374672 is an abundant number, since it is smaller than the sum of its proper divisors (4781668528).

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

3657374672 is a wasteful number, since it uses less digits than its factorization.

3657374672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8284 (or 8278 counting only the distinct ones).

The product of its digits is 4445280, while the sum is 50.

The square root of 3657374672 is about 60476.2322900493. The cubic root of 3657374672 is about 1540.7179808338.

The spelling of 3657374672 in words is "three billion, six hundred fifty-seven million, three hundred seventy-four thousand, six hundred seventy-two".