34139741088 has 144 divisors (see below), whose sum is σ = 95482648800. Its totient is φ = 10678554624.

The previous prime is 34139741047. The next prime is 34139741089. The reversal of 34139741088 is 88014793143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (34139741089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10346863 + ... + 10350161.

It is an arithmetic number, because the mean of its divisors is an integer number (663073950).

Almost surely, 2^34139741088 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 34139741088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47741324400).

34139741088 is an abundant number, since it is smaller than the sum of its proper divisors (61342907712).

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

34139741088 is a wasteful number, since it uses less digits than its factorization.

34139741088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3719 (or 3694 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 34139741088 in words is "thirty-four billion, one hundred thirty-nine million, seven hundred forty-one thousand, eighty-eight".