38005794 has 64 divisors (see below), whose sum is σ = 87552000. Its totient is φ = 12214800.

The previous prime is 38005789. The next prime is 38005813. The reversal of 38005794 is 49750083.

38005794 is a `hidden beast` number, since 3 + 80 + 0 + 579 + 4 = 666.

It is a super-3 number, since 3×38005794³ (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 251619 + ... + 251769.

It is an arithmetic number, because the mean of its divisors is an integer number (1368000).

Almost surely, 2^38005794 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38005794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43776000).

38005794 is an abundant number, since it is smaller than the sum of its proper divisors (49546206).

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

38005794 is a wasteful number, since it uses less digits than its factorization.

38005794 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 38005794 is about 6164.8839405134. The cubic root of 38005794 is about 336.2146269041.

The spelling of 38005794 in words is "thirty-eight million, five thousand, seven hundred ninety-four".