38768796 has 72 divisors (see below), whose sum is σ = 109234944. Its totient is φ = 11492640.

The previous prime is 38768791. The next prime is 38768801. The reversal of 38768796 is 69786783.

It is an interprime number because it is at equal distance from previous prime (38768791) and next prime (38768801).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38768791) 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, 17571 + ... + 19653.

It is an arithmetic number, because the mean of its divisors is an integer number (1517152).

Almost surely, 2^38768796 is an apocalyptic number.

38768796 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38768796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54617472).

38768796 is an abundant number, since it is smaller than the sum of its proper divisors (70466148).

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

38768796 is a wasteful number, since it uses less digits than its factorization.

38768796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151 (or 2146 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 38768796 is about 6226.4593470126. The cubic root of 38768796 is about 338.4496774981.

It can be divided in two parts, 387687 and 96, that added together give a palindrome (387783).

The spelling of 38768796 in words is "thirty-eight million, seven hundred sixty-eight thousand, seven hundred ninety-six".