33808752 has 100 divisors (see below), whose sum is σ = 103077480. Its totient is φ = 10668672.

The previous prime is 33808679. The next prime is 33808757. The reversal of 33808752 is 25780833.

It is a super-2 number, since 2×33808752² = 2286063423595008, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33808757) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23938 + ... + 25310.

Almost surely, 2^33808752 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 33808752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51538740).

33808752 is an abundant number, since it is smaller than the sum of its proper divisors (69268728).

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

33808752 is a wasteful number, since it uses less digits than its factorization.

33808752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 33808752 is about 5814.5293876633. The cubic root of 33808752 is about 323.3526167926.

The spelling of 33808752 in words is "thirty-three million, eight hundred eight thousand, seven hundred fifty-two".