387256100 has 144 divisors (see below), whose sum is σ = 1103262720. Its totient is φ = 114307200.

The previous prime is 387256087. The next prime is 387256127. The reversal of 387256100 is 1652783.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144977 + ... + 147623.

Almost surely, 2^387256100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387256100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551631360).

387256100 is an abundant number, since it is smaller than the sum of its proper divisors (716006620).

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

387256100 is a wasteful number, since it uses less digits than its factorization.

387256100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2698 (or 2691 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 387256100 is about 19678.8236437039. The cubic root of 387256100 is about 728.8968764444.

The spelling of 387256100 in words is "three hundred eighty-seven million, two hundred fifty-six thousand, one hundred".