34313513442 has 64 divisors (see below), whose sum is σ = 75802438656. Its totient is φ = 10287728640.

The previous prime is 34313513441. The next prime is 34313513449. The reversal of 34313513442 is 24431531343.

It is not an unprimeable number, because it can be changed into a prime (34313513441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2753658 + ... + 2766090.

It is an arithmetic number, because the mean of its divisors is an integer number (1184413104).

Almost surely, 2^34313513442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34313513442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37901219328).

34313513442 is an abundant number, since it is smaller than the sum of its proper divisors (41488925214).

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

34313513442 is a wasteful number, since it uses less digits than its factorization.

34313513442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13355.

The product of its digits is 51840, while the sum is 33.

The spelling of 34313513442 in words is "thirty-four billion, three hundred thirteen million, five hundred thirteen thousand, four hundred forty-two".