3111320352400 has 180 divisors, whose sum is σ = 8214994056432. Its totient is φ = 1131647362560.

The previous prime is 3111320352397. The next prime is 3111320352407. The reversal of 3111320352400 is 42530231113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (3111320352407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4185727 + ... + 4872673.

Almost surely, 2^{3111320352400} 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 3111320352400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4107497028216).

3111320352400 is an abundant number, since it is smaller than the sum of its proper divisors (5103673704032).

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

3111320352400 is a wasteful number, since it uses less digits than its factorization.

3111320352400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687058 (or 687034 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 3111320352400 its reverse (42530231113), we get a palindrome (3153850583513).

The spelling of 3111320352400 in words is "three trillion, one hundred eleven billion, three hundred twenty million, three hundred fifty-two thousand, four hundred".