33379504 has 30 divisors (see below), whose sum is σ = 68267580. Its totient is φ = 15808608.

The previous prime is 33379499. The next prime is 33379531. The reversal of 33379504 is 40597333.

It is a super-2 number, since 2×33379504² = 2228382574572032, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33379504.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2887 + ... + 8665.

It is an arithmetic number, because the mean of its divisors is an integer number (2275586).

Almost surely, 2^33379504 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 33379504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34133790).

33379504 is an abundant number, since it is smaller than the sum of its proper divisors (34888076).

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

33379504 is a wasteful number, since it uses less digits than its factorization.

33379504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5825 (or 5800 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 34.

The square root of 33379504 is about 5777.4998052791. The cubic root of 33379504 is about 321.9783172777.

The spelling of 33379504 in words is "thirty-three million, three hundred seventy-nine thousand, five hundred four".