33870720 has 256 divisors, whose sum is σ = 123379200. Its totient is φ = 7839744.

The previous prime is 33870701. The next prime is 33870757. The reversal of 33870720 is 2707833.

It is a super-3 number, since 3×33870720³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 574051 + ... + 574109.

It is an arithmetic number, because the mean of its divisors is an integer number (481950).

Almost surely, 2^33870720 is an apocalyptic number.

33870720 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 33870720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61689600).

33870720 is an abundant number, since it is smaller than the sum of its proper divisors (89508480).

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

33870720 is a wasteful number, since it uses less digits than its factorization.

33870720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 33870720 is about 5819.8556683134. The cubic root of 33870720 is about 323.5500536886.

The spelling of 33870720 in words is "thirty-three million, eight hundred seventy thousand, seven hundred twenty".