3918306312 has 320 divisors, whose sum is σ = 12263011200. Its totient is φ = 1163289600.

The previous prime is 3918306311. The next prime is 3918306313. The reversal of 3918306312 is 2136038193.

3918306312 is a `hidden beast` number, since 3 + 9 + 18 + 3 + 0 + 631 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3918306311) and next prime (3918306313).

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

It is not an unprimeable number, because it can be changed into a prime (3918306311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28600708 + ... + 28600844.

It is an arithmetic number, because the mean of its divisors is an integer number (38321910).

Almost surely, 2^3918306312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3918306312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6131505600).

3918306312 is an abundant number, since it is smaller than the sum of its proper divisors (8344704888).

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

3918306312 is a wasteful number, since it uses less digits than its factorization.

3918306312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3918306312 is about 62596.3761890415. The cubic root of 3918306312 is about 1576.5199150844.

The spelling of 3918306312 in words is "three billion, nine hundred eighteen million, three hundred six thousand, three hundred twelve".