33450984 has 96 divisors (see below), whose sum is σ = 106928640. Its totient is φ = 9244800.

The previous prime is 33450973. The next prime is 33451031. The reversal of 33450984 is 48905433.

It is a super-2 number, since 2×33450984² = 2237936661136512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14554 + ... + 16694.

It is an arithmetic number, because the mean of its divisors is an integer number (1113840).

Almost surely, 2^33450984 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 33450984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53464320).

33450984 is an abundant number, since it is smaller than the sum of its proper divisors (73477656).

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

33450984 is a wasteful number, since it uses less digits than its factorization.

33450984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 33450984 is about 5783.6825639034. The cubic root of 33450984 is about 322.2079851727.

It can be divided in two parts, 334509 and 84, that multiplied together give a triangular number (28098756 = T₇₄₉₆).

The spelling of 33450984 in words is "thirty-three million, four hundred fifty thousand, nine hundred eighty-four".