33214368 has 96 divisors (see below), whose sum is σ = 96671232. Its totient is φ = 9900800.

The previous prime is 33214333. The next prime is 33214373. The reversal of 33214368 is 86341233.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33214368² = 2206388483278848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74755 + ... + 75197.

It is an arithmetic number, because the mean of its divisors is an integer number (1006992).

Almost surely, 2^33214368 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 33214368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48335616).

33214368 is an abundant number, since it is smaller than the sum of its proper divisors (63456864).

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

33214368 is a wasteful number, since it uses less digits than its factorization.

33214368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 530 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 33214368 is about 5763.1907828910. The cubic root of 33214368 is about 321.4464725974.

The spelling of 33214368 in words is "thirty-three million, two hundred fourteen thousand, three hundred sixty-eight".