33979104 has 72 divisors (see below), whose sum is σ = 97493760. Its totient is φ = 11225088.

The previous prime is 33979081. The next prime is 33979111. The reversal of 33979104 is 40197933.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36112 + ... + 37040.

It is an arithmetic number, because the mean of its divisors is an integer number (1354080).

Almost surely, 2^33979104 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 33979104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48746880).

33979104 is an abundant number, since it is smaller than the sum of its proper divisors (63514656).

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

33979104 is a wasteful number, since it uses less digits than its factorization.

33979104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 33979104 is about 5829.1598022357. The cubic root of 33979104 is about 323.8947989502.

The spelling of 33979104 in words is "thirty-three million, nine hundred seventy-nine thousand, one hundred four".