33485880 has 64 divisors (see below), whose sum is σ = 101100960. Its totient is φ = 8872448.

The previous prime is 33485873. The next prime is 33485887. The reversal of 33485880 is 8858433.

It is an interprime number because it is at equal distance from previous prime (33485873) and next prime (33485887).

It is a super-2 number, since 2×33485880² = 2242608318748800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33485887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19954 + ... + 21566.

Almost surely, 2^33485880 is an apocalyptic number.

33485880 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 33485880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50550480).

33485880 is an abundant number, since it is smaller than the sum of its proper divisors (67615080).

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

33485880 is a wasteful number, since it uses less digits than its factorization.

33485880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 33485880 is about 5786.6985406188. The cubic root of 33485880 is about 322.3199884777.

The spelling of 33485880 in words is "thirty-three million, four hundred eighty-five thousand, eight hundred eighty".