33824994 has 48 divisors (see below), whose sum is σ = 79530048. Its totient is φ = 9561888.

The previous prime is 33824983. The next prime is 33825023. The reversal of 33824994 is 49942833.

It is a happy number.

It is a super-2 number, since 2×33824994² = 2288260438200072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29724 + ... + 30840.

It is an arithmetic number, because the mean of its divisors is an integer number (1656876).

Almost surely, 2^33824994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33824994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39765024).

33824994 is an abundant number, since it is smaller than the sum of its proper divisors (45705054).

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

33824994 is a wasteful number, since it uses less digits than its factorization.

33824994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1232 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 33824994 is about 5815.9258936132. The cubic root of 33824994 is about 323.4043889137.

The spelling of 33824994 in words is "thirty-three million, eight hundred twenty-four thousand, nine hundred ninety-four".