34306342143360 has 768 divisors, whose sum is σ = 133048205821440. Its totient is φ = 7363995107328.

The previous prime is 34306342143319. The next prime is 34306342143371. The reversal of 34306342143360 is 6334124360343.

It is a super-2 number, since 2×34306342143360² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 1813893264 + ... + 1813912176.

It is an arithmetic number, because the mean of its divisors is an integer number (173239851330).

Almost surely, 2^{34306342143360} is an apocalyptic number.

34306342143360 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 34306342143360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66524102910720).

34306342143360 is an abundant number, since it is smaller than the sum of its proper divisors (98741863678080).

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

34306342143360 is a wasteful number, since it uses less digits than its factorization.

34306342143360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19443 (or 19414 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 42.

The spelling of 34306342143360 in words is "thirty-four trillion, three hundred six billion, three hundred forty-two million, one hundred forty-three thousand, three hundred sixty".