38966312 has 96 divisors (see below), whose sum is σ = 98055360. Its totient is φ = 14054400.

The previous prime is 38966311. The next prime is 38966327. The reversal of 38966312 is 21366983.

It is not an unprimeable number, because it can be changed into a prime (38966311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 638762 + ... + 638822.

It is an arithmetic number, because the mean of its divisors is an integer number (1021410).

Almost surely, 2^38966312 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 38966312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49027680).

38966312 is an abundant number, since it is smaller than the sum of its proper divisors (59089048).

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

38966312 is a wasteful number, since it uses less digits than its factorization.

38966312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 98 counting only the distinct ones).

The product of its digits is 46656, while the sum is 38.

The square root of 38966312 is about 6242.3002170674. The cubic root of 38966312 is about 339.0234724714.

The spelling of 38966312 in words is "thirty-eight million, nine hundred sixty-six thousand, three hundred twelve".