38204766 has 24 divisors (see below), whose sum is σ = 83129904. Its totient is φ = 12680640.

The previous prime is 38204759. The next prime is 38204773. The reversal of 38204766 is 66740283.

38204766 = 3089² + 3090² + ... + 3092².

It is an interprime number because it is at equal distance from previous prime (38204759) and next prime (38204773).

It is a super-2 number, since 2×38204766² = 2919208290229512, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 38204766.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66 + ... + 8741.

It is an arithmetic number, because the mean of its divisors is an integer number (3463746).

Almost surely, 2^38204766 is an apocalyptic number.

38204766 is an abundant number, since it is smaller than the sum of its proper divisors (44925138).

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

38204766 is a wasteful number, since it uses less digits than its factorization.

38204766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9056 (or 9053 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 38204766 is about 6181.0004044653. Note that the first 3 decimals coincide. The cubic root of 38204766 is about 336.8003349015.

The spelling of 38204766 in words is "thirty-eight million, two hundred four thousand, seven hundred sixty-six".