34433984 has 28 divisors (see below), whose sum is σ = 73587864. Its totient is φ = 15892224.

The previous prime is 34433977. The next prime is 34433989. The reversal of 34433984 is 48933443.

It is a super-2 number, since 2×34433984² = 2371398508224512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34433989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19862 + ... + 21525.

It is an arithmetic number, because the mean of its divisors is an integer number (2628138).

Almost surely, 2^34433984 is an apocalyptic number.

It is an amenable number.

34433984 is an abundant number, since it is smaller than the sum of its proper divisors (39153880).

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

34433984 is a wasteful number, since it uses less digits than its factorization.

34433984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41412 (or 41402 counting only the distinct ones).

The product of its digits is 124416, while the sum is 38.

The square root of 34433984 is about 5868.0477162341. The cubic root of 34433984 is about 325.3337289852. Note that the first 3 decimals are identical.

The spelling of 34433984 in words is "thirty-four million, four hundred thirty-three thousand, nine hundred eighty-four".