312768036 has 72 divisors (see below), whose sum is σ = 905602880. Its totient is φ = 89159616.

The previous prime is 312768019. The next prime is 312768041. The reversal of 312768036 is 630867213.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136710 + ... + 138978.

Almost surely, 2^312768036 is an apocalyptic number.

312768036 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 312768036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452801440).

312768036 is an abundant number, since it is smaller than the sum of its proper divisors (592834844).

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

312768036 is a wasteful number, since it uses less digits than its factorization.

312768036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2833 (or 2828 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 312768036 is about 17685.2491076603. The cubic root of 312768036 is about 678.7983651423.

The spelling of 312768036 in words is "three hundred twelve million, seven hundred sixty-eight thousand, thirty-six".