34318871040 has 320 divisors, whose sum is σ = 118887854976. Its totient is φ = 8411676672.

The previous prime is 34318871039. The next prime is 34318871047. The reversal of 34318871040 is 4017881343.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 34318871040.

It is not an unprimeable number, because it can be changed into a prime (34318871047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5611024 + ... + 5617136.

Almost surely, 2^34318871040 is an apocalyptic number.

34318871040 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 34318871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59443927488).

34318871040 is an abundant number, since it is smaller than the sum of its proper divisors (84568983936).

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

34318871040 is a wasteful number, since it uses less digits than its factorization.

34318871040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6199 (or 6183 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 34318871040 in words is "thirty-four billion, three hundred eighteen million, eight hundred seventy-one thousand, forty".