387891000 has 384 divisors, whose sum is σ = 1541928960. Its totient is φ = 86112000.

The previous prime is 387890983. The next prime is 387891001. The reversal of 387891000 is 198783.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387891001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2960935 + ... + 2961065.

It is an arithmetic number, because the mean of its divisors is an integer number (4015440).

Almost surely, 2^387891000 is an apocalyptic number.

387891000 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 387891000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770964480).

387891000 is an abundant number, since it is smaller than the sum of its proper divisors (1154037960).

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

387891000 is a wasteful number, since it uses less digits than its factorization.

387891000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 387891000 is about 19694.9485909459. The cubic root of 387891000 is about 729.2949970956.

The spelling of 387891000 in words is "three hundred eighty-seven million, eight hundred ninety-one thousand".