38582401 has 32 divisors (see below), whose sum is σ = 48988800. Its totient is φ = 29844480.

The previous prime is 38582399. The next prime is 38582443. The reversal of 38582401 is 10428583.

It is a cyclic number.

It is not a de Polignac number, because 38582401 - 2¹ = 38582399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38582491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143295 + ... + 143563.

It is an arithmetic number, because the mean of its divisors is an integer number (1530900).

Almost surely, 2^38582401 is an apocalyptic number.

It is an amenable number.

38582401 is a deficient number, since it is larger than the sum of its proper divisors (10406399).

38582401 is a wasteful number, since it uses less digits than its factorization.

38582401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369.

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 38582401 is about 6211.4733356910. The cubic root of 38582401 is about 337.9063995107.

It can be divided in two parts, 38582 and 401, that added together give a palindrome (38983).

The spelling of 38582401 in words is "thirty-eight million, five hundred eighty-two thousand, four hundred one".