33974316 has 84 divisors (see below), whose sum is σ = 91077504. Its totient is φ = 11080800.

The previous prime is 33974287. The next prime is 33974323. The reversal of 33974316 is 61347933.

33974316 is a `hidden beast` number, since 339 + 7 + 4 + 316 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 177781 + ... + 177971.

It is an arithmetic number, because the mean of its divisors is an integer number (1084256).

Almost surely, 2^33974316 is an apocalyptic number.

33974316 is a gapful number since it is divisible by the number (36) 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 33974316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45538752).

33974316 is an abundant number, since it is smaller than the sum of its proper divisors (57103188).

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

33974316 is a wasteful number, since it uses less digits than its factorization.

33974316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 257 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The square root of 33974316 is about 5828.7490939309. The cubic root of 33974316 is about 323.8795848827.

The spelling of 33974316 in words is "thirty-three million, nine hundred seventy-four thousand, three hundred sixteen".