33874344 has 48 divisors (see below), whose sum is σ = 104850720. Its totient is φ = 9678240.

The previous prime is 33874343. The next prime is 33874417. The reversal of 33874344 is 44347833.

It is a happy number.

It is a super-2 number, since 2×33874344² = 2294942362860672, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 33874299 and 33874308.

It is not an unprimeable number, because it can be changed into a prime (33874343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33102 + ... + 34109.

It is an arithmetic number, because the mean of its divisors is an integer number (2184390).

Almost surely, 2^33874344 is an apocalyptic number.

It is an amenable number.

33874344 is an abundant number, since it is smaller than the sum of its proper divisors (70976376).

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

33874344 is a wasteful number, since it uses less digits than its factorization.

33874344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67230 (or 67223 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 33874344 is about 5820.1670079131. The cubic root of 33874344 is about 323.5615926971.

The spelling of 33874344 in words is "thirty-three million, eight hundred seventy-four thousand, three hundred forty-four".