34138505088 has 96 divisors (see below), whose sum is σ = 98736426360. Its totient is φ = 11321662464.

The previous prime is 34138505087. The next prime is 34138505173. The reversal of 34138505088 is 88050583143.

34138505088 is a `hidden beast` number, since 3 + 4 + 138 + 5 + 0 + 508 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34138505083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151731 + ... + 302157.

Almost surely, 2^34138505088 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 34138505088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49368213180).

34138505088 is an abundant number, since it is smaller than the sum of its proper divisors (64597921272).

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

34138505088 is a wasteful number, since it uses less digits than its factorization.

34138505088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150644 (or 150629 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 34138505088 in words is "thirty-four billion, one hundred thirty-eight million, five hundred five thousand, eighty-eight".