34106387363310 has 128 divisors (see below), whose sum is σ = 84346844313600. Its totient is φ = 8823053932160.

The previous prime is 34106387363309. The next prime is 34106387363329. The reversal of 34106387363310 is 1336378360143.

It is a super-2 number, since 2×34106387363310² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34106387363310.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41093857 + ... + 41915603.

It is an arithmetic number, because the mean of its divisors is an integer number (658959721200).

Almost surely, 2^{34106387363310} is an apocalyptic number.

34106387363310 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 34106387363310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42173422156800).

34106387363310 is an abundant number, since it is smaller than the sum of its proper divisors (50240456950290).

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

34106387363310 is a wasteful number, since it uses less digits than its factorization.

34106387363310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822126.

The product of its (nonzero) digits is 1959552, while the sum is 48.

The spelling of 34106387363310 in words is "thirty-four trillion, one hundred six billion, three hundred eighty-seven million, three hundred sixty-three thousand, three hundred ten".