34984395088 has 120 divisors (see below), whose sum is σ = 75514229280. Its totient is φ = 15654101760.

The previous prime is 34984395073. The next prime is 34984395119. The reversal of 34984395088 is 88059348943.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13346418 + ... + 13349038.

It is an arithmetic number, because the mean of its divisors is an integer number (629285244).

Almost surely, 2^34984395088 is an apocalyptic number.

34984395088 is a gapful number since it is divisible by the number (38) 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 34984395088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37757114640).

34984395088 is an abundant number, since it is smaller than the sum of its proper divisors (40529834192).

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

34984395088 is a wasteful number, since it uses less digits than its factorization.

34984395088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2777 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 61.

The spelling of 34984395088 in words is "thirty-four billion, nine hundred eighty-four million, three hundred ninety-five thousand, eighty-eight".