38768042 has 32 divisors (see below), whose sum is σ = 62512128. Its totient is φ = 18000000.

The previous prime is 38768039. The next prime is 38768047. The reversal of 38768042 is 24086783.

It is a super-2 number, since 2×38768042² = 3005922161027528, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38767987 and 38768005.

It is not an unprimeable number, because it can be changed into a prime (38768047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256667 + ... + 256817.

It is an arithmetic number, because the mean of its divisors is an integer number (1953504).

Almost surely, 2^38768042 is an apocalyptic number.

38768042 is the 5084-th pentagonal number.

38768042 is a deficient number, since it is larger than the sum of its proper divisors (23744086).

38768042 is a wasteful number, since it uses less digits than its factorization.

38768042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326.

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 38768042 is about 6226.3987986636. The cubic root of 38768042 is about 338.4474833563.

The spelling of 38768042 in words is "thirty-eight million, seven hundred sixty-eight thousand, forty-two".