312353344400 has 30 divisors (see below), whose sum is σ = 750428910882. Its totient is φ = 124941337600.

The previous prime is 312353344343. The next prime is 312353344411. The reversal of 312353344400 is 4443353213.

It can be written as a sum of positive squares in 3 ways, for example, as 34198365184 + 278154979216 = 184928^2 + 527404^2 .

It is a super-2 number, since 2×312353344400² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 390441281 + ... + 390442080.

Almost surely, 2^312353344400 is an apocalyptic number.

It is an amenable number.

312353344400 is an abundant number, since it is smaller than the sum of its proper divisors (438075566482).

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

312353344400 is a wasteful number, since it uses less digits than its factorization.

312353344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780883379 (or 780883368 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 32.

Adding to 312353344400 its reverse (4443353213), we get a palindrome (316796697613).

The spelling of 312353344400 in words is "three hundred twelve billion, three hundred fifty-three million, three hundred forty-four thousand, four hundred".