38735284 has 36 divisors (see below), whose sum is σ = 79634016. Its totient is φ = 16436784.

The previous prime is 38735273. The next prime is 38735309. The reversal of 38735284 is 48253783.

38735284 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20049 + ... + 21895.

It is an arithmetic number, because the mean of its divisors is an integer number (2212056).

It is a vampire number, since it can be written as 5243 ⋅ 7388 (with its own digits).

Almost surely, 2^38735284 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 38735284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39817008).

38735284 is an abundant number, since it is smaller than the sum of its proper divisors (40898732).

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

38735284 is a wasteful number, since it uses less digits than its factorization.

38735284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1963 counting only the distinct ones).

The product of its digits is 161280, while the sum is 40.

The square root of 38735284 is about 6223.7676691856. The cubic root of 38735284 is about 338.3521300166.

The spelling of 38735284 in words is "thirty-eight million, seven hundred thirty-five thousand, two hundred eighty-four".