33084464 has 40 divisors (see below), whose sum is σ = 74161920. Its totient is φ = 14004288.

The previous prime is 33084463. The next prime is 33084487. The reversal of 33084464 is 46448033.

It is a self number, because there is not a number n which added to its sum of digits gives 33084464.

It is not an unprimeable number, because it can be changed into a prime (33084461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7517 + ... + 11075.

It is an arithmetic number, because the mean of its divisors is an integer number (1854048).

Almost surely, 2^33084464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33084464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37080960).

33084464 is an abundant number, since it is smaller than the sum of its proper divisors (41077456).

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

33084464 is a wasteful number, since it uses less digits than its factorization.

33084464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3657 (or 3651 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 33084464 is about 5751.9095959516. The cubic root of 33084464 is about 321.0268576112.

The spelling of 33084464 in words is "thirty-three million, eighty-four thousand, four hundred sixty-four".