38612768 has 36 divisors (see below), whose sum is σ = 79502598. Its totient is φ = 18458880.

The previous prime is 38612767. The next prime is 38612771. The reversal of 38612768 is 86721683.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 31494544 + 7118224 = 5612^2 + 2668^2 .

It is not an unprimeable number, because it can be changed into a prime (38612767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15788 + ... + 18068.

Almost surely, 2^38612768 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 38612768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39751299).

38612768 is an abundant number, since it is smaller than the sum of its proper divisors (40889830).

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

38612768 is a wasteful number, since it uses less digits than its factorization.

38612768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337 (or 2306 counting only the distinct ones).

The product of its digits is 96768, while the sum is 41.

The square root of 38612768 is about 6213.9172830027. The cubic root of 38612768 is about 337.9950281122.

The spelling of 38612768 in words is "thirty-eight million, six hundred twelve thousand, seven hundred sixty-eight".