38287872 has 120 divisors (see below), whose sum is σ = 126393696. Its totient is φ = 10930176.

The previous prime is 38287867. The next prime is 38287877. The reversal of 38287872 is 27878283.

It is an interprime number because it is at equal distance from previous prime (38287867) and next prime (38287877).

It is a super-2 number, since 2×38287872² = 2931922284576768, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (38287877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31663 + ... + 32849.

Almost surely, 2^38287872 is an apocalyptic number.

38287872 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 38287872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63196848).

38287872 is an abundant number, since it is smaller than the sum of its proper divisors (88105824).

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

38287872 is a wasteful number, since it uses less digits than its factorization.

38287872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1199 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 38287872 is about 6187.7194506539. The cubic root of 38287872 is about 337.0443695304.

The spelling of 38287872 in words is "thirty-eight million, two hundred eighty-seven thousand, eight hundred seventy-two".