38112360 has 128 divisors (see below), whose sum is σ = 134386560. Its totient is φ = 8524800.

The previous prime is 38112359. The next prime is 38112377. The reversal of 38112360 is 6321183.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 38112360.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16050 + ... + 18270.

It is an arithmetic number, because the mean of its divisors is an integer number (1049895).

Almost surely, 2^38112360 is an apocalyptic number.

38112360 is a gapful number since it is divisible by the number (30) 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 38112360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67193280).

38112360 is an abundant number, since it is smaller than the sum of its proper divisors (96274200).

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

38112360 is a wasteful number, since it uses less digits than its factorization.

38112360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2259 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 38112360 is about 6173.5208754810. The cubic root of 38112360 is about 336.5285756359.

It can be divided in two parts, 381123 and 60, that added together give a palindrome (381183).

The spelling of 38112360 in words is "thirty-eight million, one hundred twelve thousand, three hundred sixty".