33874320 has 160 divisors (see below), whose sum is σ = 112849920. Its totient is φ = 8386560.

The previous prime is 33874307. The next prime is 33874327. The reversal of 33874320 is 2347833.

It is a super-2 number, since 2×33874320² = 2294939110924800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (33874327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215682 + ... + 215838.

It is an arithmetic number, because the mean of its divisors is an integer number (705312).

Almost surely, 2^33874320 is an apocalyptic number.

33874320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33874320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56424960).

33874320 is an abundant number, since it is smaller than the sum of its proper divisors (78975600).

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

33874320 is a wasteful number, since it uses less digits than its factorization.

33874320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 33874320 is about 5820.1649461162. The cubic root of 33874320 is about 323.5615162826.

The spelling of 33874320 in words is "thirty-three million, eight hundred seventy-four thousand, three hundred twenty".