33630480 has 120 divisors (see below), whose sum is σ = 121664088. Its totient is φ = 8275968.

The previous prime is 33630479. The next prime is 33630491. The reversal of 33630480 is 8403633.

It can be written as a sum of positive squares in 4 ways, for example, as 36864 + 33593616 = 192^2 + 5796^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×33630480² = 2262018370060800, which contains 22 as substring.

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, 7564 + ... + 11156.

Almost surely, 2^33630480 is an apocalyptic number.

33630480 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 33630480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60832044).

33630480 is an abundant number, since it is smaller than the sum of its proper divisors (88033608).

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

33630480 is a wasteful number, since it uses less digits than its factorization.

33630480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3625 (or 3616 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 33630480 is about 5799.1792522735. The cubic root of 33630480 is about 322.7832737334.

The spelling of 33630480 in words is "thirty-three million, six hundred thirty thousand, four hundred eighty".