34456896 has 84 divisors (see below), whose sum is σ = 99641152. Its totient is φ = 11384064.

The previous prime is 34456883. The next prime is 34456913. The reversal of 34456896 is 69865443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93705 + ... + 94071.

Almost surely, 2^34456896 is an apocalyptic number.

34456896 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 34456896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49820576).

34456896 is an abundant number, since it is smaller than the sum of its proper divisors (65184256).

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

34456896 is a wasteful number, since it uses less digits than its factorization.

34456896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 535 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 34456896 is about 5869.9996592845. Note that the first 3 decimals coincide. The cubic root of 34456896 is about 325.4058708332.

The spelling of 34456896 in words is "thirty-four million, four hundred fifty-six thousand, eight hundred ninety-six".