34404122088 has 160 divisors (see below), whose sum is σ = 110522871360. Its totient is φ = 9794649600.

The previous prime is 34404122047. The next prime is 34404122141. The reversal of 34404122088 is 88022140443.

34404122088 is a `hidden beast` number, since 3 + 440 + 4 + 1 + 2 + 208 + 8 = 666.

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

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, 1270288 + ... + 1297088.

It is an arithmetic number, because the mean of its divisors is an integer number (690767946).

Almost surely, 2^34404122088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34404122088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55261435680).

34404122088 is an abundant number, since it is smaller than the sum of its proper divisors (76118749272).

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

34404122088 is a wasteful number, since it uses less digits than its factorization.

34404122088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27109 (or 27096 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 34404122088 in words is "thirty-four billion, four hundred four million, one hundred twenty-two thousand, eighty-eight".