33864804 has 60 divisors (see below), whose sum is σ = 89334784. Its totient is φ = 11185776.

The previous prime is 33864797. The next prime is 33864841. The reversal of 33864804 is 40846833.

33864804 is a `hidden beast` number, since 3 + 3 + 8 + 648 + 0 + 4 = 666.

It is a super-2 number, since 2×33864804² = 2293649899916832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 40737 + ... + 41559.

Almost surely, 2^33864804 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 33864804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44667392).

33864804 is an abundant number, since it is smaller than the sum of its proper divisors (55469980).

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

33864804 is a wasteful number, since it uses less digits than its factorization.

33864804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 33864804 is about 5819.3473860906. The cubic root of 33864804 is about 323.5312150617.

The spelling of 33864804 in words is "thirty-three million, eight hundred sixty-four thousand, eight hundred four".