3993200100 has 72 divisors (see below), whose sum is σ = 12837407520. Its totient is φ = 1064852640.

The previous prime is 3993200093. The next prime is 3993200111. The reversal of 3993200100 is 10023993.

3993200100 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 a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 736782 + ... + 742181.

Almost surely, 2^3993200100 is an apocalyptic number.

3993200100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3993200100 is an abundant number, since it is smaller than the sum of its proper divisors (8844207420).

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

3993200100 is a wasteful number, since it uses less digits than its factorization.

3993200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478986 (or 1478973 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 3993200100 is about 63191.7724074899. The cubic root of 3993200100 is about 1586.5010277347.

The spelling of 3993200100 in words is "three billion, nine hundred ninety-three million, two hundred thousand, one hundred".