34216142543310 has 128 divisors (see below), whose sum is σ = 102492731787264. Its totient is φ = 7117550737920.

The previous prime is 34216142543293. The next prime is 34216142543329. The reversal of 34216142543310 is 1334524161243.

It is a super-2 number, since 2×34216142543310² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 88069449 + ... + 88457108.

It is an arithmetic number, because the mean of its divisors is an integer number (800724467088).

Almost surely, 2^{34216142543310} is an apocalyptic number.

34216142543310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34216142543310 is an abundant number, since it is smaller than the sum of its proper divisors (68276589243954).

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

34216142543310 is a wasteful number, since it uses less digits than its factorization.

34216142543310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176526658.

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 34216142543310 in words is "thirty-four trillion, two hundred sixteen billion, one hundred forty-two million, five hundred forty-three thousand, three hundred ten".