34313868960 has 288 divisors, whose sum is σ = 133133595840. Its totient is φ = 7381721088.

The previous prime is 34313868949. The next prime is 34313869003. The reversal of 34313868960 is 6986831343.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 356931 + ... + 442749.

It is an arithmetic number, because the mean of its divisors is an integer number (462269430).

Almost surely, 2^34313868960 is an apocalyptic number.

34313868960 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 34313868960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66566797920).

34313868960 is an abundant number, since it is smaller than the sum of its proper divisors (98819726880).

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

34313868960 is a wasteful number, since it uses less digits than its factorization.

34313868960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85868 (or 85853 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 34313868960 in words is "thirty-four billion, three hundred thirteen million, eight hundred sixty-eight thousand, nine hundred sixty".