33384480 has 96 divisors (see below), whose sum is σ = 106069824. Its totient is φ = 8825856.

The previous prime is 33384467. The next prime is 33384503. The reversal of 33384480 is 8448333.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33384480² = 2229047009740800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75139 + ... + 75581.

It is an arithmetic number, because the mean of its divisors is an integer number (1104894).

Almost surely, 2^33384480 is an apocalyptic number.

33384480 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 33384480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53034912).

33384480 is an abundant number, since it is smaller than the sum of its proper divisors (72685344).

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

33384480 is a wasteful number, since it uses less digits than its factorization.

33384480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 33384480 is about 5777.9304253340. The cubic root of 33384480 is about 321.9943159626.

The spelling of 33384480 in words is "thirty-three million, three hundred eighty-four thousand, four hundred eighty".