34332984 has 168 divisors, whose sum is σ = 114240360. Its totient is φ = 9471168.

The previous prime is 34332967. The next prime is 34333007. The reversal of 34332984 is 48923343.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 41 ways as a sum of consecutive naturals, for example, 1183882 + ... + 1183910.

Almost surely, 2^34332984 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 34332984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57120180).

34332984 is an abundant number, since it is smaller than the sum of its proper divisors (79907376).

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

34332984 is an equidigital number, since it uses as much as digits as its factorization.

34332984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 41 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 34332984 is about 5859.4354676880. The cubic root of 34332984 is about 325.0153333989.

The spelling of 34332984 in words is "thirty-four million, three hundred thirty-two thousand, nine hundred eighty-four".