3130400 has 144 divisors (see below), whose sum is σ = 9624384. Its totient is φ = 967680.

The previous prime is 3130399. The next prime is 3130403. The reversal of 3130400 is 40313.

It is not an unprimeable number, because it can be changed into a prime (3130403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72779 + ... + 72821.

It is an arithmetic number, because the mean of its divisors is an integer number (66836).

Almost surely, 2^3130400 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 3130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4812192).

3130400 is an abundant number, since it is smaller than the sum of its proper divisors (6493984).

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

3130400 is a wasteful number, since it uses less digits than its factorization.

3130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 3130400 is about 1769.2936443677. The cubic root of 3130400 is about 146.2850501621.

Adding to 3130400 its reverse (40313), we get a palindrome (3170713).

The spelling of 3130400 in words is "three million, one hundred thirty thousand, four hundred".