312726900 has 108 divisors (see below), whose sum is σ = 961445408. Its totient is φ = 78466560.

The previous prime is 312726899. The next prime is 312726907. The reversal of 312726900 is 9627213.

It is a super-2 number, since 2×312726900² = 195596227967220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312726907) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 84897 + ... + 88503.

Almost surely, 2^312726900 is an apocalyptic number.

312726900 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 312726900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480722704).

312726900 is an abundant number, since it is smaller than the sum of its proper divisors (648718508).

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

312726900 is a wasteful number, since it uses less digits than its factorization.

312726900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3658 (or 3634 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 312726900 is about 17684.0860662914. The cubic root of 312726900 is about 678.7686047761.

The spelling of 312726900 in words is "three hundred twelve million, seven hundred twenty-six thousand, nine hundred".