33642720 has 144 divisors (see below), whose sum is σ = 116992512. Its totient is φ = 8801280.

The previous prime is 33642709. The next prime is 33642737. The reversal of 33642720 is 2724633.

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

It is a super-2 number, since 2×33642720² = 2263665217996800, which contains 22 as substring.

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, 87649 + ... + 88031.

It is an arithmetic number, because the mean of its divisors is an integer number (812448).

Almost surely, 2^33642720 is an apocalyptic number.

33642720 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 33642720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58496256).

33642720 is an abundant number, since it is smaller than the sum of its proper divisors (83349792).

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

33642720 is a wasteful number, since it uses less digits than its factorization.

33642720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 33642720 is about 5800.2344780190. The cubic root of 33642720 is about 322.8224285720.

It can be divided in two parts, 3364 and 2720, that added together give a square (6084 = 78²).

The spelling of 33642720 in words is "thirty-three million, six hundred forty-two thousand, seven hundred twenty".