38427312 has 160 divisors (see below), whose sum is σ = 127563264. Its totient is φ = 9676800.

The previous prime is 38427299. The next prime is 38427317. The reversal of 38427312 is 21372483.

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 38427312.

It is not an unprimeable number, because it can be changed into a prime (38427317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136612 + ... + 136892.

Almost surely, 2^38427312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38427312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63781632).

38427312 is an abundant number, since it is smaller than the sum of its proper divisors (89135952).

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

38427312 is a wasteful number, since it uses less digits than its factorization.

38427312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 341 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 38427312 is about 6198.9766897448. The cubic root of 38427312 is about 337.4530326960.

Adding to 38427312 its reverse (21372483), we get a palindrome (59799795).

It can be divided in two parts, 38 and 427312, that added together give a triangular number (427350 = T₉₂₄).

The spelling of 38427312 in words is "thirty-eight million, four hundred twenty-seven thousand, three hundred twelve".