33874784 has 48 divisors (see below), whose sum is σ = 69718320. Its totient is φ = 16181760.

The previous prime is 33874783. The next prime is 33874787. The reversal of 33874784 is 48747833.

It is a super-2 number, since 2×33874784² = 2295001982093312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33874783) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160439 + ... + 160649.

It is an arithmetic number, because the mean of its divisors is an integer number (1452465).

Almost surely, 2^33874784 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 33874784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34859160).

33874784 is an abundant number, since it is smaller than the sum of its proper divisors (35843536).

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

33874784 is a wasteful number, since it uses less digits than its factorization.

33874784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 415 counting only the distinct ones).

The product of its digits is 451584, while the sum is 44.

The square root of 33874784 is about 5820.2048073929. The cubic root of 33874784 is about 323.5629936245.

The spelling of 33874784 in words is "thirty-three million, eight hundred seventy-four thousand, seven hundred eighty-four".