33873504 has 144 divisors (see below), whose sum is σ = 109166400. Its totient is φ = 9144576.

The previous prime is 33873449. The next prime is 33873509. The reversal of 33873504 is 40537833.

It is a super-2 number, since 2×33873504² = 2294828546476032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33873509) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89187 + ... + 89565.

It is an arithmetic number, because the mean of its divisors is an integer number (758100).

Almost surely, 2^33873504 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 33873504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54583200).

33873504 is an abundant number, since it is smaller than the sum of its proper divisors (75292896).

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

33873504 is a wasteful number, since it uses less digits than its factorization.

33873504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 33873504 is about 5820.0948445880. The cubic root of 33873504 is about 323.5589181658.

The spelling of 33873504 in words is "thirty-three million, eight hundred seventy-three thousand, five hundred four".