38036642 has 30 divisors (see below), whose sum is σ = 67316433. Its totient is φ = 16118256.

The previous prime is 38036623. The next prime is 38036653. The reversal of 38036642 is 24663083.

It can be written as a sum of positive squares in 2 ways, for example, as 34000561 + 4036081 = 5831^2 + 2009^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4361.

It is a super-2 number, since 2×38036642² = 2893572269272328, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 38036599 and 38036608.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 427334 + ... + 427422.

Almost surely, 2^38036642 is an apocalyptic number.

38036642 is a deficient number, since it is larger than the sum of its proper divisors (29279791).

38036642 is an frugal number, since it uses more digits than its factorization.

38036642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 38036642 is about 6167.3853455091. The cubic root of 38036642 is about 336.3055669328.

Multiplying 38036642 by its sum of digits (32), we get a square (1217172544 = 34888²).

The spelling of 38036642 in words is "thirty-eight million, thirty-six thousand, six hundred forty-two".