38626 has 16 divisors (see below), whose sum is σ = 69120. Its totient is φ = 15840.

The previous prime is 38611. The next prime is 38629. The reversal of 38626 is 62683.

38626 is nontrivially palindromic in base 6.

38626 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 38626.

It is not an unprimeable number, because it can be changed into a prime (38629) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 390 + ... + 478.

It is an arithmetic number, because the mean of its divisors is an integer number (4320).

2³⁸⁶²⁶ is an apocalyptic number.

38626 is a deficient number, since it is larger than the sum of its proper divisors (30494).

38626 is a wasteful number, since it uses less digits than its factorization.

38626 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129.

The product of its digits is 1728, while the sum is 25.

The square root of 38626 is about 196.5349841631. The cubic root of 38626 is about 33.8033632264.

It can be divided in two parts, 3 and 8626, that multiplied together give a triangular number (25878 = T₂₂₇).

The spelling of 38626 in words is "thirty-eight thousand, six hundred twenty-six".