34531400442 has 96 divisors (see below), whose sum is σ = 87700838400. Its totient is φ = 8963159520.

The previous prime is 34531400411. The next prime is 34531400447. The reversal of 34531400442 is 24400413543.

34531400442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (34531400447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6785623 + ... + 6790709.

It is an arithmetic number, because the mean of its divisors is an integer number (913550400).

Almost surely, 2^34531400442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34531400442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43850419200).

34531400442 is an abundant number, since it is smaller than the sum of its proper divisors (53169437958).

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

34531400442 is a wasteful number, since it uses less digits than its factorization.

34531400442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7216 (or 7209 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 34531400442 its reverse (24400413543), we get a palindrome (58931813985).

The spelling of 34531400442 in words is "thirty-four billion, five hundred thirty-one million, four hundred thousand, four hundred forty-two".