38864784 has 80 divisors (see below), whose sum is σ = 115960832. Its totient is φ = 10986624.

The previous prime is 38864783. The next prime is 38864789. The reversal of 38864784 is 48746883.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is not an unprimeable number, because it can be changed into a prime (38864783) 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, 34047 + ... + 35169.

Almost surely, 2^38864784 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 38864784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57980416).

38864784 is an abundant number, since it is smaller than the sum of its proper divisors (77096048).

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

38864784 is a wasteful number, since it uses less digits than its factorization.

38864784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1238 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 48.

The square root of 38864784 is about 6234.1626542784. The cubic root of 38864784 is about 338.7287707905.

The spelling of 38864784 in words is "thirty-eight million, eight hundred sixty-four thousand, seven hundred eighty-four".