38317272 has 64 divisors (see below), whose sum is σ = 111302400. Its totient is φ = 10765440.

The previous prime is 38317261. The next prime is 38317273. The reversal of 38317272 is 27271383.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38317273) 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 15 ways as a sum of consecutive naturals, for example, 8379 + ... + 12117.

It is an arithmetic number, because the mean of its divisors is an integer number (1739100).

Almost surely, 2^38317272 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 38317272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55651200).

38317272 is an abundant number, since it is smaller than the sum of its proper divisors (72985128).

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

38317272 is a wasteful number, since it uses less digits than its factorization.

38317272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3816 (or 3812 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 38317272 is about 6190.0946680968. The cubic root of 38317272 is about 337.1306158946.

The spelling of 38317272 in words is "thirty-eight million, three hundred seventeen thousand, two hundred seventy-two".