33978912 has 96 divisors (see below), whose sum is σ = 101606400. Its totient is φ = 9841920.

The previous prime is 33978871. The next prime is 33978929. The reversal of 33978912 is 21987933.

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 (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23589 + ... + 24987.

It is an arithmetic number, because the mean of its divisors is an integer number (1058400).

Almost surely, 2^33978912 is an apocalyptic number.

33978912 is a gapful number since it is divisible by the number (32) 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 33978912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50803200).

33978912 is an abundant number, since it is smaller than the sum of its proper divisors (67627488).

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

33978912 is a wasteful number, since it uses less digits than its factorization.

33978912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1438 counting only the distinct ones).

The product of its digits is 81648, while the sum is 42.

The square root of 33978912 is about 5829.1433332866. The cubic root of 33978912 is about 323.8941888898.

The spelling of 33978912 in words is "thirty-three million, nine hundred seventy-eight thousand, nine hundred twelve".