33874456 has 64 divisors (see below), whose sum is σ = 79994880. Its totient is φ = 13063680.

The previous prime is 33874453. The next prime is 33874457. The reversal of 33874456 is 65447833.

It is a super-2 number, since 2×33874456² = 2294957538591872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33874453) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78016 + ... + 78448.

It is an arithmetic number, because the mean of its divisors is an integer number (1249920).

Almost surely, 2^33874456 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 33874456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39997440).

33874456 is an abundant number, since it is smaller than the sum of its proper divisors (46120424).

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

33874456 is a wasteful number, since it uses less digits than its factorization.

33874456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 580 counting only the distinct ones).

The product of its digits is 241920, while the sum is 40.

The square root of 33874456 is about 5820.1766296222. The cubic root of 33874456 is about 323.5619492980.

The spelling of 33874456 in words is "thirty-three million, eight hundred seventy-four thousand, four hundred fifty-six".