3112034204400 has 240 divisors, whose sum is σ = 10948139452800. Its totient is φ = 749368755200.

The previous prime is 3112034204393. The next prime is 3112034204437. The reversal of 3112034204400 is 44024302113.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 1175659 + ... + 2757941.

It is an arithmetic number, because the mean of its divisors is an integer number (45617247720).

Almost surely, 2^{3112034204400} is an apocalyptic number.

3112034204400 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 3112034204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5474069726400).

3112034204400 is an abundant number, since it is smaller than the sum of its proper divisors (7836105248400).

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

3112034204400 is a wasteful number, since it uses less digits than its factorization.

3112034204400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582464 (or 1582453 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 3112034204400 its reverse (44024302113), we get a palindrome (3156058506513).

The spelling of 3112034204400 in words is "three trillion, one hundred twelve billion, thirty-four million, two hundred four thousand, four hundred".