38735872 has 78 divisors (see below), whose sum is σ = 90576078. Its totient is φ = 16515072.

The previous prime is 38735869. The next prime is 38735881. The reversal of 38735872 is 27853783.

It can be written as a sum of positive squares in only one way, i.e., 28901376 + 9834496 = 5376^2 + 3136^2 .

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 5 ways as a sum of consecutive naturals, for example, 200608 + ... + 200800.

Almost surely, 2^38735872 is an apocalyptic number.

38735872 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 38735872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45288039).

38735872 is an abundant number, since it is smaller than the sum of its proper divisors (51840206).

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

38735872 is an equidigital number, since it uses as much as digits as its factorization.

38735872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 202 counting only the distinct ones).

The product of its digits is 282240, while the sum is 43.

The square root of 38735872 is about 6223.8149072735. The cubic root of 38735872 is about 338.3538420650.

The spelling of 38735872 in words is "thirty-eight million, seven hundred thirty-five thousand, eight hundred seventy-two".