10000034343310 has 256 divisors, whose sum is σ = 21025507737600. Its totient is φ = 3390612825600.

The previous prime is 10000034343293. The next prime is 10000034343319. The reversal of 10000034343310 is 1334343000001.

It is a happy number.

It is a super-3 number, since 3×10000034343310³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000034343319) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4589275801 + ... + 4589277979.

It is an arithmetic number, because the mean of its divisors is an integer number (82130889600).

Almost surely, 2^{10000034343310} is an apocalyptic number.

10000034343310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10000034343310 is an abundant number, since it is smaller than the sum of its proper divisors (11025473394290).

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

10000034343310 is a wasteful number, since it uses less digits than its factorization.

10000034343310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2727.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 10000034343310 its reverse (1334343000001), we get a palindrome (11334377343311).

The spelling of 10000034343310 in words is "ten trillion, thirty-four million, three hundred forty-three thousand, three hundred ten".