34442024442 has 96 divisors (see below), whose sum is σ = 81531442944. Its totient is φ = 9669542400.

The previous prime is 34442024437. The next prime is 34442024479. The reversal of 34442024442 is 24442024443.

34442024442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34442024442² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6027967 + ... + 6033677.

It is an arithmetic number, because the mean of its divisors is an integer number (849285864).

Almost surely, 2^34442024442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34442024442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40765721472).

34442024442 is an abundant number, since it is smaller than the sum of its proper divisors (47089418502).

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

34442024442 is a wasteful number, since it uses less digits than its factorization.

34442024442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6084 (or 6077 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 33.

Adding to 34442024442 its reverse (24442024443), we get a palindrome (58884048885).

Subtracting from 34442024442 its reverse (24442024443), we obtain a palindrome (9999999999).

The spelling of 34442024442 in words is "thirty-four billion, four hundred forty-two million, twenty-four thousand, four hundred forty-two".