3637968 has 40 divisors (see below), whose sum is σ = 9895200. Its totient is φ = 1148544.

The previous prime is 3637967. The next prime is 3637981. The reversal of 3637968 is 8697363.

It is a super-2 number, since 2×3637968² = 26469622338048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3637967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1083 + ... + 2906.

It is an arithmetic number, because the mean of its divisors is an integer number (247380).

Almost surely, 2^3637968 is an apocalyptic number.

3637968 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

3637968 is an abundant number, since it is smaller than the sum of its proper divisors (6257232).

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

3637968 is a wasteful number, since it uses less digits than its factorization.

3637968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4019 (or 4013 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The square root of 3637968 is about 1907.3457997961. The cubic root of 3637968 is about 153.7988039925.

The spelling of 3637968 in words is "three million, six hundred thirty-seven thousand, nine hundred sixty-eight".