33868638 has 16 divisors (see below), whose sum is σ = 75263760. Its totient is φ = 11289528.

The previous prime is 33868631. The next prime is 33868651. The reversal of 33868638 is 83686833.

It is a happy number.

33868638 is a `hidden beast` number, since 3 + 3 + 8 + 6 + 8 + 638 = 666.

It is a super-2 number, since 2×33868638² = 2294169279950088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33868593 and 33868602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33868631) 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, 313545 + ... + 313652.

It is an arithmetic number, because the mean of its divisors is an integer number (4703985).

Almost surely, 2^33868638 is an apocalyptic number.

33868638 is an abundant number, since it is smaller than the sum of its proper divisors (41395122).

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

33868638 is a wasteful number, since it uses less digits than its factorization.

33868638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627208 (or 627202 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 33868638 is about 5819.6767951494. The cubic root of 33868638 is about 323.5434241178.

It can be divided in two parts, 338686 and 38, that added together give a square (338724 = 582²).

The spelling of 33868638 in words is "thirty-three million, eight hundred sixty-eight thousand, six hundred thirty-eight".