38843136 has 108 divisors (see below), whose sum is σ = 117023088. Its totient is φ = 12367872.

The previous prime is 38843053. The next prime is 38843137. The reversal of 38843136 is 63134883.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 38843136.

It is not an unprimeable number, because it can be changed into a prime (38843137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52626 + ... + 53358.

Almost surely, 2^38843136 is an apocalyptic number.

38843136 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 38843136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58511544).

38843136 is an abundant number, since it is smaller than the sum of its proper divisors (78179952).

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

38843136 is a wasteful number, since it uses less digits than its factorization.

38843136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 761 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 38843136 is about 6232.4261728479. The cubic root of 38843136 is about 338.6658675521.

The spelling of 38843136 in words is "thirty-eight million, eight hundred forty-three thousand, one hundred thirty-six".