38406312 has 80 divisors (see below), whose sum is σ = 122955360. Its totient is φ = 10971936.

The previous prime is 38406293. The next prime is 38406317. The reversal of 38406312 is 21360483.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (38406317) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 303 + ... + 8769.

It is an arithmetic number, because the mean of its divisors is an integer number (1536942).

Almost surely, 2^38406312 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 38406312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61477680).

38406312 is an abundant number, since it is smaller than the sum of its proper divisors (84549048).

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

38406312 is a wasteful number, since it uses less digits than its factorization.

38406312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8492 (or 8479 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 38406312 is about 6197.2826303147. The cubic root of 38406312 is about 337.3915503405.

Adding to 38406312 its reverse (21360483), we get a palindrome (59766795).

The spelling of 38406312 in words is "thirty-eight million, four hundred six thousand, three hundred twelve".