33874568 has 128 divisors (see below), whose sum is σ = 86016000. Its totient is φ = 12130560.

The previous prime is 33874567. The next prime is 33874571. The reversal of 33874568 is 86547833.

It is a super-2 number, since 2×33874568² = 2294972714373248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33874567) 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, 428753 + ... + 428831.

It is an arithmetic number, because the mean of its divisors is an integer number (672000).

Almost surely, 2^33874568 is an apocalyptic number.

33874568 is a gapful number since it is divisible by the number (38) 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 33874568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43008000).

33874568 is an abundant number, since it is smaller than the sum of its proper divisors (52141432).

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

33874568 is a wasteful number, since it uses less digits than its factorization.

33874568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 151 counting only the distinct ones).

The product of its digits is 483840, while the sum is 44.

The square root of 33874568 is about 5820.1862513153. The cubic root of 33874568 is about 323.5623058980.

The spelling of 33874568 in words is "thirty-three million, eight hundred seventy-four thousand, five hundred sixty-eight".