34121310432 has 48 divisors (see below), whose sum is σ = 97711028352. Its totient is φ = 10339790720.

The previous prime is 34121310413. The next prime is 34121310437. The reversal of 34121310432 is 23401312143.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34121310437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16154868 + ... + 16156979.

It is an arithmetic number, because the mean of its divisors is an integer number (2035646424).

Almost surely, 2^34121310432 is an apocalyptic number.

34121310432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34121310432 is an abundant number, since it is smaller than the sum of its proper divisors (63589717920).

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

34121310432 is a wasteful number, since it uses less digits than its factorization.

34121310432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32311871 (or 32311863 counting only the distinct ones).

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

Adding to 34121310432 its reverse (23401312143), we get a palindrome (57522622575).

The spelling of 34121310432 in words is "thirty-four billion, one hundred twenty-one million, three hundred ten thousand, four hundred thirty-two".