393668100 has 360 divisors, whose sum is σ = 1497279168. Its totient is φ = 87609600.

The previous prime is 393668057. The next prime is 393668113. The reversal of 393668100 is 1866393.

393668100 = 9⁵ + 10⁵ + ... + 36⁵.

It is a happy number.

It is a super-2 number, since 2×393668100² = 309949145915220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3005035 + ... + 3005165.

Almost surely, 2^393668100 is an apocalyptic number.

393668100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393668100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748639584).

393668100 is an abundant number, since it is smaller than the sum of its proper divisors (1103611068).

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

393668100 is a wasteful number, since it uses less digits than its factorization.

393668100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 393668100 is about 19841.0710396390. The cubic root of 393668100 is about 732.8977831454.

The spelling of 393668100 in words is "three hundred ninety-three million, six hundred sixty-eight thousand, one hundred".