38946633 has 24 divisors (see below), whose sum is σ = 58937088. Its totient is φ = 22836000.

The previous prime is 38946629. The next prime is 38946673. The reversal of 38946633 is 33664983.

It is not a de Polignac number, because 38946633 - 2² = 38946629 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38946673) 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 23 ways as a sum of consecutive naturals, for example, 9523 + ... + 12983.

It is an arithmetic number, because the mean of its divisors is an integer number (2455712).

Almost surely, 2^38946633 is an apocalyptic number.

38946633 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

38946633 is a deficient number, since it is larger than the sum of its proper divisors (19990455).

38946633 is a wasteful number, since it uses less digits than its factorization.

38946633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3517 (or 3506 counting only the distinct ones).

The product of its digits is 279936, while the sum is 42.

The square root of 38946633 is about 6240.7237561039. The cubic root of 38946633 is about 338.9663909737.

The spelling of 38946633 in words is "thirty-eight million, nine hundred forty-six thousand, six hundred thirty-three".