3111430400 has 108 divisors (see below), whose sum is σ = 8293904052. Its totient is φ = 1148805120.

The previous prime is 3111430339. The next prime is 3111430417. The reversal of 3111430400 is 40341113.

It can be written as a sum of positive squares in 6 ways, for example, as 593799424 + 2517630976 = 24368^2 + 50176^2 .

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, 64502 + ... + 101898.

Almost surely, 2^3111430400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3111430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4146952026).

3111430400 is an abundant number, since it is smaller than the sum of its proper divisors (5182473652).

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

3111430400 is a wasteful number, since it uses less digits than its factorization.

3111430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37436 (or 37417 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 3111430400 is about 55780.1972029501. The cubic root of 3111430400 is about 1459.8896520091.

Adding to 3111430400 its reverse (40341113), we get a palindrome (3151771513).

The spelling of 3111430400 in words is "three billion, one hundred eleven million, four hundred thirty thousand, four hundred".