3993333993 has 64 divisors (see below), whose sum is σ = 6594739200. Its totient is φ = 2367792000.

The previous prime is 3993333989. The next prime is 3993334003.

3993333993 is nontrivially palindromic in base 10.

3993333993 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3993333993 - 2² = 3993333989 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3993333923) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4923558 + ... + 4924368.

It is an arithmetic number, because the mean of its divisors is an integer number (103042800).

Almost surely, 2^3993333993 is an apocalyptic number.

3993333993 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3993333993 is a deficient number, since it is larger than the sum of its proper divisors (2601405207).

3993333993 is a wasteful number, since it uses less digits than its factorization.

3993333993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1165 counting only the distinct ones).

The product of its digits is 4782969, while the sum is 54.

The square root of 3993333993 is about 63192.8318165913. The cubic root of 3993333993 is about 1586.5187594622.

The spelling of 3993333993 in words is "three billion, nine hundred ninety-three million, three hundred thirty-three thousand, nine hundred ninety-three".