34496496 has 80 divisors (see below), whose sum is σ = 101184000. Its totient is φ = 11247552.

The previous prime is 34496477. The next prime is 34496513. The reversal of 34496496 is 69469443.

It is a happy number.

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, 19455 + ... + 21153.

It is an arithmetic number, because the mean of its divisors is an integer number (1264800).

Almost surely, 2^34496496 is an apocalyptic number.

34496496 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 34496496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50592000).

34496496 is an abundant number, since it is smaller than the sum of its proper divisors (66687504).

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

34496496 is a wasteful number, since it uses less digits than its factorization.

34496496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763 (or 1751 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 34496496 is about 5873.3717743729. The cubic root of 34496496 is about 325.5304819720.

The spelling of 34496496 in words is "thirty-four million, four hundred ninety-six thousand, four hundred ninety-six".