34132312410 has 128 divisors (see below), whose sum is σ = 99466513920. Its totient is φ = 7329014784.

The previous prime is 34132312399. The next prime is 34132312441. The reversal of 34132312410 is 1421323143.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149592 + ... + 301068.

It is an arithmetic number, because the mean of its divisors is an integer number (777082140).

Almost surely, 2^34132312410 is an apocalyptic number.

34132312410 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 34132312410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49733256960).

34132312410 is an abundant number, since it is smaller than the sum of its proper divisors (65334201510).

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

34132312410 is a wasteful number, since it uses less digits than its factorization.

34132312410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151560.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 34132312410 its reverse (1421323143), we get a palindrome (35553635553).

The spelling of 34132312410 in words is "thirty-four billion, one hundred thirty-two million, three hundred twelve thousand, four hundred ten".