34416804096 has 360 divisors, whose sum is σ = 109982509560. Its totient is φ = 10666377216.

The previous prime is 34416804053. The next prime is 34416804119. The reversal of 34416804096 is 69040861443.

34416804096 is a `hidden beast` number, since 3 + 441 + 6 + 80 + 40 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2327097600 + 32089706496 = 48240^2 + 179136^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31373020 + ... + 31374116.

It is an arithmetic number, because the mean of its divisors is an integer number (305506971).

Almost surely, 2^34416804096 is an apocalyptic number.

34416804096 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 34416804096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54991254780).

34416804096 is an abundant number, since it is smaller than the sum of its proper divisors (75565705464).

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

34416804096 is a wasteful number, since it uses less digits than its factorization.

34416804096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 34416804096 in words is "thirty-four billion, four hundred sixteen million, eight hundred four thousand, ninety-six".