33979488 has 96 divisors (see below), whose sum is σ = 93350880. Its totient is φ = 10813440.

The previous prime is 33979483. The next prime is 33979489. The reversal of 33979488 is 88497933.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 33979488.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33979483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350256 + ... + 350352.

It is an arithmetic number, because the mean of its divisors is an integer number (972405).

Almost surely, 2^33979488 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 33979488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46675440).

33979488 is an abundant number, since it is smaller than the sum of its proper divisors (59371392).

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

33979488 is a wasteful number, since it uses less digits than its factorization.

33979488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 232 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 33979488 is about 5829.1927399941. The cubic root of 33979488 is about 323.8960190641.

The spelling of 33979488 in words is "thirty-three million, nine hundred seventy-nine thousand, four hundred eighty-eight".