31105034400 has 432 divisors, whose sum is σ = 116151440832. Its totient is φ = 7211212800.

The previous prime is 31105034393. The next prime is 31105034413. The reversal of 31105034400 is 443050113.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 6676872 + ... + 6681528.

It is an arithmetic number, because the mean of its divisors is an integer number (268869076).

Almost surely, 2^31105034400 is an apocalyptic number.

31105034400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31105034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58075720416).

31105034400 is an abundant number, since it is smaller than the sum of its proper divisors (85046406432).

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

31105034400 is a wasteful number, since it uses less digits than its factorization.

31105034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4725 (or 4701 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 31105034400 its reverse (443050113), we get a palindrome (31548084513).

The spelling of 31105034400 in words is "thirty-one billion, one hundred five million, thirty-four thousand, four hundred".