3838257 has 12 divisors (see below), whose sum is σ = 5562804. Its totient is φ = 2550240.

The previous prime is 3838253. The next prime is 3838259. The reversal of 3838257 is 7528383.

It can be written as a sum of positive squares in 2 ways, for example, as 12321 + 3825936 = 111^2 + 1956^2 .

It is not a de Polignac number, because 3838257 - 2² = 3838253 is a prime.

It is an Ulam number.

Its product of digits (40320) is a multiple of the sum of its prime factors (1440).

It is not an unprimeable number, because it can be changed into a prime (3838253) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3283 + ... + 4295.

It is an arithmetic number, because the mean of its divisors is an integer number (463567).

Almost surely, 2^3838257 is an apocalyptic number.

It is an amenable number.

3838257 is a deficient number, since it is larger than the sum of its proper divisors (1724547).

3838257 is a wasteful number, since it uses less digits than its factorization.

3838257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1437 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 3838257 is about 1959.1470082666. The cubic root of 3838257 is about 156.5710089558.

It can be divided in two parts, 3838 and 257, that added together give a triangular number (4095 = T₉₀).

The spelling of 3838257 in words is "three million, eight hundred thirty-eight thousand, two hundred fifty-seven".