34346496 has 80 divisors (see below), whose sum is σ = 93297600. Its totient is φ = 11225088.

The previous prime is 34346489. The next prime is 34346513. The reversal of 34346496 is 69464343.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90435 + ... + 90813.

It is an arithmetic number, because the mean of its divisors is an integer number (1166220).

Almost surely, 2^34346496 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 34346496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46648800).

34346496 is an abundant number, since it is smaller than the sum of its proper divisors (58951104).

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

34346496 is an equidigital number, since it uses as much as digits as its factorization.

34346496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 443 counting only the distinct ones).

The product of its digits is 186624, while the sum is 39.

The square root of 34346496 is about 5860.5883663673. The cubic root of 34346496 is about 325.0579652034.

The spelling of 34346496 in words is "thirty-four million, three hundred forty-six thousand, four hundred ninety-six".