34318302791130 has 192 divisors, whose sum is σ = 91820246918400. Its totient is φ = 8888104608768.

The previous prime is 34318302791041. The next prime is 34318302791147. The reversal of 34318302791130 is 3119720381343.

34318302791130 is a `hidden beast` number, since 3 + 4 + 318 + 30 + 279 + 1 + 1 + 30 = 666.

It is a super-2 number, since 2×34318302791130² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1276091964 + ... + 1276118856.

It is an arithmetic number, because the mean of its divisors is an integer number (478230452700).

Almost surely, 2^{34318302791130} is an apocalyptic number.

34318302791130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34318302791130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45910123459200).

34318302791130 is an abundant number, since it is smaller than the sum of its proper divisors (57501944127270).

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

34318302791130 is a wasteful number, since it uses less digits than its factorization.

34318302791130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28805 (or 28802 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 34318302791130 in words is "thirty-four trillion, three hundred eighteen billion, three hundred two million, seven hundred ninety-one thousand, one hundred thirty".