33485220 has 72 divisors (see below), whose sum is σ = 106928640. Its totient is φ = 8458560.

The previous prime is 33485219. The next prime is 33485251. The reversal of 33485220 is 2258433.

It is a super-2 number, since 2×33485220² = 2242519916896800, 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, 1476 + ... + 8315.

It is an arithmetic number, because the mean of its divisors is an integer number (1485120).

Almost surely, 2^33485220 is an apocalyptic number.

33485220 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 33485220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53464320).

33485220 is an abundant number, since it is smaller than the sum of its proper divisors (73443420).

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

33485220 is a wasteful number, since it uses less digits than its factorization.

33485220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9825 (or 9820 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 33485220 is about 5786.6415130022. The cubic root of 33485220 is about 322.3178708429.

The spelling of 33485220 in words is "thirty-three million, four hundred eighty-five thousand, two hundred twenty".