34431696 has 80 divisors (see below), whose sum is σ = 106451520. Its totient is φ = 10592640.

The previous prime is 34431679. The next prime is 34431701. The reversal of 34431696 is 69613443.

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 self number, because there is not a number n which added to its sum of digits gives 34431696.

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, 2551 + ... + 8681.

It is an arithmetic number, because the mean of its divisors is an integer number (1330644).

Almost surely, 2^34431696 is an apocalyptic number.

34431696 is a gapful number since it is divisible by the number (36) 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 34431696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53225760).

34431696 is an abundant number, since it is smaller than the sum of its proper divisors (72019824).

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

34431696 is a wasteful number, since it uses less digits than its factorization.

34431696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6161 (or 6149 counting only the distinct ones).

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

The square root of 34431696 is about 5867.8527588889. The cubic root of 34431696 is about 325.3265231188.

The spelling of 34431696 in words is "thirty-four million, four hundred thirty-one thousand, six hundred ninety-six".