38310272 has 192 divisors, whose sum is σ = 107516160. Its totient is φ = 13178880.

The previous prime is 38310253. The next prime is 38310313. The reversal of 38310272 is 27201383.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1665653 + ... + 1665675.

It is an arithmetic number, because the mean of its divisors is an integer number (559980).

Almost surely, 2^38310272 is an apocalyptic number.

38310272 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 38310272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53758080).

38310272 is an abundant number, since it is smaller than the sum of its proper divisors (69205888).

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

38310272 is a wasteful number, since it uses less digits than its factorization.

38310272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 38310272 is about 6189.5292228085. The cubic root of 38310272 is about 337.1100850486.

Subtracting from 38310272 its reverse (27201383), we obtain a square (11108889 = 3333²).

The spelling of 38310272 in words is "thirty-eight million, three hundred ten thousand, two hundred seventy-two".