38385576 has 80 divisors (see below), whose sum is σ = 110489940. Its totient is φ = 12441600.

The previous prime is 38385569. The next prime is 38385583. The reversal of 38385576 is 67558383.

38385576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38385569) and next prime (38385583).

It can be written as a sum of positive squares in 2 ways, for example, as 26316900 + 12068676 = 5130^2 + 3474^2 .

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 19 ways as a sum of consecutive naturals, for example, 23176 + ... + 24776.

Almost surely, 2^38385576 is an apocalyptic number.

38385576 is a gapful number since it is divisible by the number (36) 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 38385576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55244970).

38385576 is an abundant number, since it is smaller than the sum of its proper divisors (72104364).

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

38385576 is a wasteful number, since it uses less digits than its factorization.

38385576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1643 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 38385576 is about 6195.6094131247. The cubic root of 38385576 is about 337.3308189112.

The spelling of 38385576 in words is "thirty-eight million, three hundred eighty-five thousand, five hundred seventy-six".