33421920 has 240 divisors, whose sum is σ = 127053360. Its totient is φ = 7375872.

The previous prime is 33421889. The next prime is 33421939. The reversal of 33421920 is 2912433.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×33421920² = 2234049472972800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 406 × 294 × 280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1152466 + ... + 1152494.

It is an arithmetic number, because the mean of its divisors is an integer number (529389).

Almost surely, 2^33421920 is an apocalyptic number.

33421920 is a gapful number since it is divisible by the number (30) 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 33421920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63526680).

33421920 is an abundant number, since it is smaller than the sum of its proper divisors (93631440).

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

33421920 is an equidigital number, since it uses as much as digits as its factorization.

33421920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 33421920 is about 5781.1694318710. The cubic root of 33421920 is about 322.1146409693.

The spelling of 33421920 in words is "thirty-three million, four hundred twenty-one thousand, nine hundred twenty".