34297992960 has 864 divisors, whose sum is σ = 141532054272. Its totient is φ = 6998261760.

The previous prime is 34297992959. The next prime is 34297992961. The reversal of 34297992960 is 6929979243.

It is an interprime number because it is at equal distance from previous prime (34297992959) and next prime (34297992961).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 34297992894 and 34297992903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34297992961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 151092367 + ... + 151092593.

It is an arithmetic number, because the mean of its divisors is an integer number (163810248).

Almost surely, 2^34297992960 is an apocalyptic number.

34297992960 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 34297992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70766027136).

34297992960 is an abundant number, since it is smaller than the sum of its proper divisors (107234061312).

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

34297992960 is a wasteful number, since it uses less digits than its factorization.

34297992960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 60.

The spelling of 34297992960 in words is "thirty-four billion, two hundred ninety-seven million, nine hundred ninety-two thousand, nine hundred sixty".