3130753390800 has 480 divisors, whose sum is σ = 11816076889344. Its totient is φ = 693688320000.

The previous prime is 3130753390781. The next prime is 3130753390801. The reversal of 3130753390800 is 80933570313.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3130753390801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54041850 + ... + 54099750.

Almost surely, 2^{3130753390800} is an apocalyptic number.

3130753390800 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 3130753390800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5908038444672).

3130753390800 is an abundant number, since it is smaller than the sum of its proper divisors (8685323498544).

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

3130753390800 is a wasteful number, since it uses less digits than its factorization.

3130753390800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58127 (or 58116 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The spelling of 3130753390800 in words is "three trillion, one hundred thirty billion, seven hundred fifty-three million, three hundred ninety thousand, eight hundred".