3800768 has 14 divisors (see below), whose sum is σ = 7542276. Its totient is φ = 1900352.

The previous prime is 3800761. The next prime is 3800777. The reversal of 3800768 is 8670083.

It is a super-3 number, since 3×3800768³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (3800761) 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 as a sum of consecutive naturals, namely, 29630 + ... + 29757.

It is an arithmetic number, because the mean of its divisors is an integer number (538734).

Almost surely, 2^3800768 is an apocalyptic number.

It is an amenable number.

3800768 is a deficient number, since it is larger than the sum of its proper divisors (3741508).

3800768 is an equidigital number, since it uses as much as digits as its factorization.

3800768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59399 (or 59389 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 3800768 is about 1949.5558468533. Note that the first 3 decimals coincide. The cubic root of 3800768 is about 156.0595871424.

The spelling of 3800768 in words is "three million, eight hundred thousand, seven hundred sixty-eight".