34359696 has 120 divisors (see below), whose sum is σ = 111421440. Its totient is φ = 9681408.

The previous prime is 34359691. The next prime is 34359697. The reversal of 34359696 is 69695343.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34359691) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89521 + ... + 89903.

It is an arithmetic number, because the mean of its divisors is an integer number (928512).

Almost surely, 2^34359696 is an apocalyptic number.

34359696 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 34359696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55710720).

34359696 is an abundant number, since it is smaller than the sum of its proper divisors (77061744).

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

34359696 is a wasteful number, since it uses less digits than its factorization.

34359696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 484 counting only the distinct ones).

The product of its digits is 524880, while the sum is 45.

The square root of 34359696 is about 5861.7144249784. The cubic root of 34359696 is about 325.0996018193.

It can be divided in two parts, 3435 and 9696, that added together give a palindrome (13131).

The spelling of 34359696 in words is "thirty-four million, three hundred fifty-nine thousand, six hundred ninety-six".