38006712 has 64 divisors (see below), whose sum is σ = 106272000. Its totient is φ = 12585312.

The previous prime is 38006687. The next prime is 38006719. The reversal of 38006712 is 21760083.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38006719) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38173 + ... + 39155.

It is an arithmetic number, because the mean of its divisors is an integer number (1660500).

Almost surely, 2^38006712 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 38006712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53136000).

38006712 is an abundant number, since it is smaller than the sum of its proper divisors (68265288).

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

38006712 is a wasteful number, since it uses less digits than its factorization.

38006712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 38006712 is about 6164.9583940202. The cubic root of 38006712 is about 336.2173338821.

Adding to 38006712 its reverse (21760083), we get a palindrome (59766795).

The spelling of 38006712 in words is "thirty-eight million, six thousand, seven hundred twelve".