33978042 has 120 divisors (see below), whose sum is σ = 92939616. Its totient is φ = 9086256.

The previous prime is 33978031. The next prime is 33978047. The reversal of 33978042 is 24087933.

33978042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 33977988 and 33978006.

It is not an unprimeable number, because it can be changed into a prime (33978047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 409333 + ... + 409415.

Almost surely, 2^33978042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33978042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46469808).

33978042 is an abundant number, since it is smaller than the sum of its proper divisors (58961574).

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

33978042 is a wasteful number, since it uses less digits than its factorization.

33978042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 33978042 is about 5829.0687077783. The cubic root of 33978042 is about 323.8914245247.

The spelling of 33978042 in words is "thirty-three million, nine hundred seventy-eight thousand, forty-two".