34100090856 has 384 divisors, whose sum is σ = 110954188800. Its totient is φ = 9722177280.

The previous prime is 34100090831. The next prime is 34100090911. The reversal of 34100090856 is 65809000143.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34100090856.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22567141 + ... + 22568651.

It is an arithmetic number, because the mean of its divisors is an integer number (288943200).

Almost surely, 2^34100090856 is an apocalyptic number.

34100090856 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 34100090856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55477094400).

34100090856 is an abundant number, since it is smaller than the sum of its proper divisors (76854097944).

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

34100090856 is a wasteful number, since it uses less digits than its factorization.

34100090856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 34100090856 its reverse (65809000143), we get a palindrome (99909090999).

The spelling of 34100090856 in words is "thirty-four billion, one hundred million, ninety thousand, eight hundred fifty-six".