34100432140 has 96 divisors (see below), whose sum is σ = 76229185536. Its totient is φ = 12794046720.

The previous prime is 34100432117. The next prime is 34100432173. The reversal of 34100432140 is 4123400143.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2721129 + ... + 2733631.

It is an arithmetic number, because the mean of its divisors is an integer number (794054016).

Almost surely, 2^34100432140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34100432140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38114592768).

34100432140 is an abundant number, since it is smaller than the sum of its proper divisors (42128753396).

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

34100432140 is a wasteful number, since it uses less digits than its factorization.

34100432140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12679 (or 12677 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 34100432140 its reverse (4123400143), we get a palindrome (38223832283).

The spelling of 34100432140 in words is "thirty-four billion, one hundred million, four hundred thirty-two thousand, one hundred forty".