312786432 has 120 divisors (see below), whose sum is σ = 1031789616. Its totient is φ = 89358336.

The previous prime is 312786403. The next prime is 312786437. The reversal of 312786432 is 234687213.

It is a happy number.

312786432 is a `hidden beast` number, since 3 + 1 + 2 + 7 + 8 + 643 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312786437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27408 + ... + 37104.

Almost surely, 2^312786432 is an apocalyptic number.

312786432 is a gapful number since it is divisible by the number (32) 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 312786432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515894808).

312786432 is an abundant number, since it is smaller than the sum of its proper divisors (719003184).

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

312786432 is an equidigital number, since it uses as much as digits as its factorization.

312786432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9728 (or 9709 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 312786432 is about 17685.7691944682. The cubic root of 312786432 is about 678.8116731197.

The spelling of 312786432 in words is "three hundred twelve million, seven hundred eighty-six thousand, four hundred thirty-two".