38601369 has 27 divisors (see below), whose sum is σ = 59391423. Its totient is φ = 24156144.

The previous prime is 38601307. The next prime is 38601379. The reversal of 38601369 is 96310683.

It is a happy number.

The square root of 38601369 is 6213.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 26904969 + 11696400 = 5187^2 + 3420^2 .

It is not a de Polignac number, because 38601369 - 2⁹ = 38600857 is a prime.

It is a super-2 number, since 2×38601369² = 2980131377348322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38601379) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 354087 + ... + 354195.

Almost surely, 2^38601369 is an apocalyptic number.

38601369 is the 6213-rd square number.

38601369 is the 3107-th centered octagonal number.

It is an amenable number.

38601369 is a deficient number, since it is larger than the sum of its proper divisors (20790054).

38601369 is a wasteful number, since it uses less digits than its factorization.

38601369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The cubic root of 38601369 is about 337.9617646372.

Multiplying 38601369 by its sum of digits (36), we get a square (1389649284 = 37278²).

The spelling of 38601369 in words is "thirty-eight million, six hundred one thousand, three hundred sixty-nine".