33972420 has 48 divisors (see below), whose sum is σ = 95376960. Its totient is φ = 9035136.

The previous prime is 33972413. The next prime is 33972469. The reversal of 33972420 is 2427933.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 40566 + ... + 41394.

It is an arithmetic number, because the mean of its divisors is an integer number (1987020).

Almost surely, 2^33972420 is an apocalyptic number.

33972420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33972420 is an abundant number, since it is smaller than the sum of its proper divisors (61404540).

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

33972420 is a wasteful number, since it uses less digits than its factorization.

33972420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 33972420 is about 5828.5864495605. The cubic root of 33972420 is about 323.8735598694.

The spelling of 33972420 in words is "thirty-three million, nine hundred seventy-two thousand, four hundred twenty".