38262042 has 144 divisors (see below), whose sum is σ = 107557632. Its totient is φ = 9737280.

The previous prime is 38262013. The next prime is 38262047. The reversal of 38262042 is 24026283.

38262042 is a `hidden beast` number, since 38 + 2 + 620 + 4 + 2 = 666.

38262042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 38261997 and 38262015.

It is not an unprimeable number, because it can be changed into a prime (38262047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 538867 + ... + 538937.

It is an arithmetic number, because the mean of its divisors is an integer number (746928).

Almost surely, 2^38262042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38262042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53778816).

38262042 is an abundant number, since it is smaller than the sum of its proper divisors (69295590).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38262042 is a wasteful number, since it uses less digits than its factorization.

38262042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 38262042 is about 6185.6318998143. The cubic root of 38262042 is about 336.9685594973.

The spelling of 38262042 in words is "thirty-eight million, two hundred sixty-two thousand, forty-two".