34401431300 has 36 divisors (see below), whose sum is σ = 76471873716. Its totient is φ = 13424947200.

The previous prime is 34401431291. The next prime is 34401431327. The reversal of 34401431300 is 313410443.

It can be written as a sum of positive squares in 6 ways, for example, as 14758848196 + 19642583104 = 121486^2 + 140152^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4191197 + ... + 4199396.

Almost surely, 2^34401431300 is an apocalyptic number.

It is an amenable number.

34401431300 is an abundant number, since it is smaller than the sum of its proper divisors (42070442416).

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

34401431300 is a wasteful number, since it uses less digits than its factorization.

34401431300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8390648 (or 8390641 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 34401431300 its reverse (313410443), we get a palindrome (34714841743).

It can be divided in two parts, 3440143 and 1300, that added together give a palindrome (3441443).

The spelling of 34401431300 in words is "thirty-four billion, four hundred one million, four hundred thirty-one thousand, three hundred".