312311376 has 240 divisors, whose sum is σ = 1008518784. Its totient is φ = 92938752.

The previous prime is 312311371. The next prime is 312311401. The reversal of 312311376 is 673113213.

312311376 is a `hidden beast` number, since 312 + 311 + 37 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312311371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1870045 + ... + 1870211.

Almost surely, 2^312311376 is an apocalyptic number.

312311376 is a gapful number since it is divisible by the number (36) 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 312311376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504259392).

312311376 is an abundant number, since it is smaller than the sum of its proper divisors (696207408).

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

312311376 is a wasteful number, since it uses less digits than its factorization.

312311376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 222 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 312311376 is about 17672.3336319797. Note that the first 3 decimals coincide. The cubic root of 312311376 is about 678.4678421866.

Adding to 312311376 its reverse (673113213), we get a palindrome (985424589).

The spelling of 312311376 in words is "three hundred twelve million, three hundred eleven thousand, three hundred seventy-six".