33480720 has 360 divisors, whose sum is σ = 142787736. Its totient is φ = 6967296.

The previous prime is 33480691. The next prime is 33480731. The reversal of 33480720 is 2708433.

It can be written as a sum of positive squares in 4 ways, for example, as 853776 + 32626944 = 924^2 + 5712^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×33480720² = 2241917223436800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 458604 + ... + 458676.

Almost surely, 2^33480720 is an apocalyptic number.

33480720 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 33480720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71393868).

33480720 is an abundant number, since it is smaller than the sum of its proper divisors (109307016).

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

33480720 is a wasteful number, since it uses less digits than its factorization.

33480720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 33480720 is about 5786.2526733630. The cubic root of 33480720 is about 322.3034316824.

The spelling of 33480720 in words is "thirty-three million, four hundred eighty thousand, seven hundred twenty".