3657609920 has 84 divisors (see below), whose sum is σ = 9021037584. Its totient is φ = 1412490240.

The previous prime is 3657609919. The next prime is 3657609929. The reversal of 3657609920 is 299067563.

It is a super-2 number, since 2×3657609920² = 26756220653764812800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3657609929) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 262325 + ... + 275915.

Almost surely, 2^3657609920 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 3657609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4510518792).

3657609920 is an abundant number, since it is smaller than the sum of its proper divisors (5363427664).

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

3657609920 is a wasteful number, since it uses less digits than its factorization.

3657609920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13666 (or 13627 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 47.

The square root of 3657609920 is about 60478.1772212093. The cubic root of 3657609920 is about 1540.7510139140.

The spelling of 3657609920 in words is "three billion, six hundred fifty-seven million, six hundred nine thousand, nine hundred twenty".