388268100 has 288 divisors, whose sum is σ = 1443657600. Its totient is φ = 88473600.

The previous prime is 388268077. The next prime is 388268131. The reversal of 388268100 is 1862883.

388268100 is a `hidden beast` number, since 388 + 268 + 10 + 0 = 666.

It is a super-2 number, since 2×388268100² = 301504234955220000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 504516 + ... + 505284.

It is an arithmetic number, because the mean of its divisors is an integer number (5012700).

Almost surely, 2^388268100 is an apocalyptic number.

388268100 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 388268100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721828800).

388268100 is an abundant number, since it is smaller than the sum of its proper divisors (1055389500).

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

388268100 is a wasteful number, since it uses less digits than its factorization.

388268100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 388268100 is about 19704.5197860795. The cubic root of 388268100 is about 729.5312559668.

The spelling of 388268100 in words is "three hundred eighty-eight million, two hundred sixty-eight thousand, one hundred".