33792480 has 144 divisors (see below), whose sum is σ = 119193984. Its totient is φ = 8709120.

The previous prime is 33792467. The next prime is 33792533. The reversal of 33792480 is 8429733.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×33792480² = 2283863409100800, which contains 22 as substring.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44262 + ... + 45018.

It is an arithmetic number, because the mean of its divisors is an integer number (827736).

Almost surely, 2^33792480 is an apocalyptic number.

33792480 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 33792480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59596992).

33792480 is an abundant number, since it is smaller than the sum of its proper divisors (85401504).

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

33792480 is a wasteful number, since it uses less digits than its factorization.

33792480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 798 counting only the distinct ones).

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

The square root of 33792480 is about 5813.1299658618. The cubic root of 33792480 is about 323.3007324153.

The spelling of 33792480 in words is "thirty-three million, seven hundred ninety-two thousand, four hundred eighty".