38817792 has 182 divisors, whose sum is σ = 125338682. Its totient is φ = 11943936.

The previous prime is 38817791. The next prime is 38817799. The reversal of 38817792 is 29771883.

It can be written as a sum of positive squares in only one way, i.e., 26873856 + 11943936 = 5184^2 + 3456^2 .

Its product of digits (169344) is a multiple of the sum of its prime divisors (18).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38817791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2985978 + ... + 2985990.

Almost surely, 2^38817792 is an apocalyptic number.

38817792 is a gapful number since it is divisible by the number (32) 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 38817792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62669341).

38817792 is an abundant number, since it is smaller than the sum of its proper divisors (86520890).

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

38817792 is an frugal number, since it uses more digits than its factorization.

38817792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 18 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 38817792 is about 6230.3926040018. The cubic root of 38817792 is about 338.5921950318.

The spelling of 38817792 in words is "thirty-eight million, eight hundred seventeen thousand, seven hundred ninety-two".