34097726088 has 128 divisors (see below), whose sum is σ = 98271360000. Its totient is φ = 10943009280.

The previous prime is 34097726083. The next prime is 34097726093. The reversal of 34097726088 is 88062779043.

It is an interprime number because it is at equal distance from previous prime (34097726083) and next prime (34097726093).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (34097726083) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1306188 + ... + 1332036.

It is an arithmetic number, because the mean of its divisors is an integer number (767745000).

Almost surely, 2^34097726088 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 34097726088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49135680000).

34097726088 is an abundant number, since it is smaller than the sum of its proper divisors (64173633912).

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

34097726088 is a wasteful number, since it uses less digits than its factorization.

34097726088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26092 (or 26082 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 34097726088 in words is "thirty-four billion, ninety-seven million, seven hundred twenty-six thousand, eighty-eight".