38395040 has 48 divisors (see below), whose sum is σ = 91114632. Its totient is φ = 15289344.

The previous prime is 38395039. The next prime is 38395057. The reversal of 38395040 is 4059383.

It can be written as a sum of positive squares in 4 ways, for example, as 23309584 + 15085456 = 4828^2 + 3884^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 38394988 and 38395006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50342 + ... + 51098.

Almost surely, 2^38395040 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 38395040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45557316).

38395040 is an abundant number, since it is smaller than the sum of its proper divisors (52719592).

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

38395040 is a wasteful number, since it uses less digits than its factorization.

38395040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 38395040 is about 6196.3731327285. The cubic root of 38395040 is about 337.3585397104.

The spelling of 38395040 in words is "thirty-eight million, three hundred ninety-five thousand, forty".