33399680 has 64 divisors (see below), whose sum is σ = 83354400. Its totient is φ = 12773376.

The previous prime is 33399659. The next prime is 33399697. The reversal of 33399680 is 8699333.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×33399680² = 2231077248204800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13586 + ... + 15854.

Almost surely, 2^33399680 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 33399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41677200).

33399680 is an abundant number, since it is smaller than the sum of its proper divisors (49954720).

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

33399680 is a wasteful number, since it uses less digits than its factorization.

33399680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 41.

The square root of 33399680 is about 5779.2456255120. The cubic root of 33399680 is about 322.0431767006.

The spelling of 33399680 in words is "thirty-three million, three hundred ninety-nine thousand, six hundred eighty".