34317000960 has 288 divisors, whose sum is σ = 124765498368. Its totient is φ = 7957340160.

The previous prime is 34317000947. The next prime is 34317000967. The reversal of 34317000960 is 6900071343.

It is a hoax number, since the sum of its digits (33) 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 (33).

It is not an unprimeable number, because it can be changed into a prime (34317000967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 953859 + ... + 989181.

It is an arithmetic number, because the mean of its divisors is an integer number (433213536).

Almost surely, 2^34317000960 is an apocalyptic number.

34317000960 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 34317000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62382749184).

34317000960 is an abundant number, since it is smaller than the sum of its proper divisors (90448497408).

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

34317000960 is a wasteful number, since it uses less digits than its factorization.

34317000960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35381 (or 35367 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The spelling of 34317000960 in words is "thirty-four billion, three hundred seventeen million, nine hundred sixty", and thus it is an aban number.