38084772 has 48 divisors (see below), whose sum is σ = 100296000. Its totient is φ = 11141760.

The previous prime is 38084741. The next prime is 38084779. The reversal of 38084772 is 27748083.

It is a self number, because there is not a number n which added to its sum of digits gives 38084772.

It is not an unprimeable number, because it can be changed into a prime (38084779) 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, 1147 + ... + 8802.

It is an arithmetic number, because the mean of its divisors is an integer number (2089500).

Almost surely, 2^38084772 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 38084772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50148000).

38084772 is an abundant number, since it is smaller than the sum of its proper divisors (62211228).

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

38084772 is a wasteful number, since it uses less digits than its factorization.

38084772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9996 (or 9994 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 38084772 is about 6171.2860896251. The cubic root of 38084772 is about 336.4473562154.

The spelling of 38084772 in words is "thirty-eight million, eighty-four thousand, seven hundred seventy-two".