33274944 has 84 divisors (see below), whose sum is σ = 97772220. Its totient is φ = 10813440.

The previous prime is 33274907. The next prime is 33274973. The reversal of 33274944 is 44947233.

It can be written as a sum of positive squares in 2 ways, for example, as 921600 + 32353344 = 960^2 + 5688^2 .

It is a super-2 number, since 2×33274944² = 2214443796406272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 33274899 and 33274908.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22912 + ... + 24320.

It is an arithmetic number, because the mean of its divisors is an integer number (1163955).

Almost surely, 2^33274944 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 33274944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48886110).

33274944 is an abundant number, since it is smaller than the sum of its proper divisors (64497276).

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

33274944 is a wasteful number, since it uses less digits than its factorization.

33274944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468 (or 1455 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 33274944 is about 5768.4438109424. The cubic root of 33274944 is about 321.6417707681.

The spelling of 33274944 in words is "thirty-three million, two hundred seventy-four thousand, nine hundred forty-four".