38042320 has 20 divisors (see below), whose sum is σ = 88448580. Its totient is φ = 15216896.

The previous prime is 38042293. The next prime is 38042321. The reversal of 38042320 is 2324083.

It can be written as a sum of positive squares in 2 ways, for example, as 9909904 + 28132416 = 3148^2 + 5304^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×38042320² = 2894436221964800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38042291 and 38042300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38042321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 237685 + ... + 237844.

It is an arithmetic number, because the mean of its divisors is an integer number (4422429).

Almost surely, 2^38042320 is an apocalyptic number.

It is an amenable number.

38042320 is an abundant number, since it is smaller than the sum of its proper divisors (50406260).

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

38042320 is a wasteful number, since it uses less digits than its factorization.

38042320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475542 (or 475536 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 38042320 is about 6167.8456530623. The cubic root of 38042320 is about 336.3223003413.

The spelling of 38042320 in words is "thirty-eight million, forty-two thousand, three hundred twenty".