38506405 has 24 divisors (see below), whose sum is σ = 54513432. Its totient is φ = 26030592.

The previous prime is 38506397. The next prime is 38506427. The reversal of 38506405 is 50460583.

It can be written as a sum of positive squares in 4 ways, for example, as 388129 + 38118276 = 623^2 + 6174^2 .

It is not a de Polignac number, because 38506405 - 2³ = 38506397 is a prime.

It is a super-3 number, since 3×38506405³ (a number of 24 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16809 + ... + 18961.

It is an arithmetic number, because the mean of its divisors is an integer number (2271393).

Almost surely, 2^38506405 is an apocalyptic number.

38506405 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38506405 is a deficient number, since it is larger than the sum of its proper divisors (16007027).

38506405 is a wasteful number, since it uses less digits than its factorization.

38506405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2245 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 38506405 is about 6205.3529311394. The cubic root of 38506405 is about 337.6843948927.

Adding to 38506405 its reverse (50460583), we get a palindrome (88966988).

The spelling of 38506405 in words is "thirty-eight million, five hundred six thousand, four hundred five".