34311346080 has 576 divisors, whose sum is σ = 127417909248. Its totient is φ = 7692318720.

The previous prime is 34311346067. The next prime is 34311346093. The reversal of 34311346080 is 8064311343.

It is an interprime number because it is at equal distance from previous prime (34311346067) and next prime (34311346093).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89585569 + ... + 89585951.

It is an arithmetic number, because the mean of its divisors is an integer number (221211648).

Almost surely, 2^34311346080 is an apocalyptic number.

34311346080 is a gapful number since it is divisible by the number (30) 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 34311346080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63708954624).

34311346080 is an abundant number, since it is smaller than the sum of its proper divisors (93106563168).

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

34311346080 is a wasteful number, since it uses less digits than its factorization.

34311346080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 34311346080 in words is "thirty-four billion, three hundred eleven million, three hundred forty-six thousand, eighty".