34432992 has 96 divisors (see below), whose sum is σ = 109589760. Its totient is φ = 10431360.

The previous prime is 34432961. The next prime is 34433011. The reversal of 34432992 is 29923443.

It is a tau number, because it is divible by the number of its divisors (96).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7693 + ... + 11315.

It is an arithmetic number, because the mean of its divisors is an integer number (1141560).

Almost surely, 2^34432992 is an apocalyptic number.

34432992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34432992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54794880).

34432992 is an abundant number, since it is smaller than the sum of its proper divisors (75156768).

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

34432992 is a wasteful number, since it uses less digits than its factorization.

34432992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3653 (or 3639 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 34432992 is about 5867.9631900686. The cubic root of 34432992 is about 325.3306048026.

The spelling of 34432992 in words is "thirty-four million, four hundred thirty-two thousand, nine hundred ninety-two".