33798720 has 224 divisors, whose sum is σ = 120700800. Its totient is φ = 7962624.

The previous prime is 33798689. The next prime is 33798749. The reversal of 33798720 is 2789733.

It is a super-2 number, since 2×33798720² = 2284706947276800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310026 + ... + 310134.

Almost surely, 2^33798720 is an apocalyptic number.

33798720 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 33798720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60350400).

33798720 is an abundant number, since it is smaller than the sum of its proper divisors (86902080).

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

33798720 is a wasteful number, since it uses less digits than its factorization.

33798720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 33798720 is about 5813.6666571106. Note that the first 4 decimals coincide. The cubic root of 33798720 is about 323.3206310476.

The spelling of 33798720 in words is "thirty-three million, seven hundred ninety-eight thousand, seven hundred twenty".