33980472 has 80 divisors (see below), whose sum is σ = 97574400. Its totient is φ = 11041920.

The previous prime is 33980461. The next prime is 33980533. The reversal of 33980472 is 27408933.

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 (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25929 + ... + 27207.

It is an arithmetic number, because the mean of its divisors is an integer number (1219680).

Almost surely, 2^33980472 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 33980472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48787200).

33980472 is an abundant number, since it is smaller than the sum of its proper divisors (63593928).

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

33980472 is a wasteful number, since it uses less digits than its factorization.

33980472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1325 counting only the distinct ones).

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

The square root of 33980472 is about 5829.2771421506. The cubic root of 33980472 is about 323.8991455641.

The spelling of 33980472 in words is "thirty-three million, nine hundred eighty thousand, four hundred seventy-two".