38200272 has 80 divisors (see below), whose sum is σ = 109278720. Its totient is φ = 11401600.

The previous prime is 38200271. The next prime is 38200273. The reversal of 38200272 is 27200283.

It is an interprime number because it is at equal distance from previous prime (38200271) and next prime (38200273).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38200271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36979 + ... + 37997.

It is an arithmetic number, because the mean of its divisors is an integer number (1365984).

Almost surely, 2^38200272 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 38200272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54639360).

38200272 is an abundant number, since it is smaller than the sum of its proper divisors (71078448).

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

38200272 is a wasteful number, since it uses less digits than its factorization.

38200272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 38200272 is about 6180.6368603891. The cubic root of 38200272 is about 336.7871285208.

The spelling of 38200272 in words is "thirty-eight million, two hundred thousand, two hundred seventy-two".