34399296 has 112 divisors (see below), whose sum is σ = 107167680. Its totient is φ = 10782720.

The previous prime is 34399271. The next prime is 34399319. The reversal of 34399296 is 69299343.

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

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, 28791 + ... + 29961.

Almost surely, 2^34399296 is an apocalyptic number.

34399296 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 34399296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53583840).

34399296 is an abundant number, since it is smaller than the sum of its proper divisors (72768384).

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

34399296 is a wasteful number, since it uses less digits than its factorization.

34399296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1193 counting only the distinct ones).

The product of its digits is 314928, while the sum is 45.

The square root of 34399296 is about 5865.0913036371. The cubic root of 34399296 is about 325.2244477202.

The spelling of 34399296 in words is "thirty-four million, three hundred ninety-nine thousand, two hundred ninety-six".