34130313360 has 640 divisors, whose sum is σ = 141110968320. Its totient is φ = 7471872000.

The previous prime is 34130313359. The next prime is 34130313379. The reversal of 34130313360 is 6331303143.

34130313360 is a `hidden beast` number, since 341 + 3 + 0 + 313 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14516185 + ... + 14518535.

It is an arithmetic number, because the mean of its divisors is an integer number (220485888).

Almost surely, 2^34130313360 is an apocalyptic number.

34130313360 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 34130313360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70555484160).

34130313360 is an abundant number, since it is smaller than the sum of its proper divisors (106980654960).

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

34130313360 is a wasteful number, since it uses less digits than its factorization.

34130313360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The spelling of 34130313360 in words is "thirty-four billion, one hundred thirty million, three hundred thirteen thousand, three hundred sixty".