38123272 has 48 divisors (see below), whose sum is σ = 82630800. Its totient is φ = 16308000.

The previous prime is 38123257. The next prime is 38123297. The reversal of 38123272 is 27232183.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 38123272.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 252397 + ... + 252547.

It is an arithmetic number, because the mean of its divisors is an integer number (1721475).

Almost surely, 2^38123272 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 38123272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41315400).

38123272 is an abundant number, since it is smaller than the sum of its proper divisors (44507528).

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

38123272 is a wasteful number, since it uses less digits than its factorization.

38123272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 183 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 38123272 is about 6174.4045866788. The cubic root of 38123272 is about 336.5606898845.

It can be divided in two parts, 381 and 23272, that added together give a triangular number (23653 = T₂₁₇).

The spelling of 38123272 in words is "thirty-eight million, one hundred twenty-three thousand, two hundred seventy-two".