33873920 has 56 divisors (see below), whose sum is σ = 81390744. Its totient is φ = 13533184.

The previous prime is 33873899. The next prime is 33873937. The reversal of 33873920 is 2937833.

It is a super-2 number, since 2×33873920² = 2294884912332800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40547 + ... + 41373.

Almost surely, 2^33873920 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 33873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40695372).

33873920 is an abundant number, since it is smaller than the sum of its proper divisors (47516824).

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

33873920 is an frugal number, since it uses more digits than its factorization.

33873920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 33873920 is about 5820.1305827275. The cubic root of 33873920 is about 323.5602427011.

The spelling of 33873920 in words is "thirty-three million, eight hundred seventy-three thousand, nine hundred twenty".