387891840 has 512 divisors, whose sum is σ = 1566720000. Its totient is φ = 81285120.

The previous prime is 387891827. The next prime is 387891853. The reversal of 387891840 is 48198783.

It is an interprime number because it is at equal distance from previous prime (387891827) and next prime (387891853).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 387891840.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12512625 + ... + 12512655.

It is an arithmetic number, because the mean of its divisors is an integer number (3060000).

Almost surely, 2^387891840 is an apocalyptic number.

387891840 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 387891840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783360000).

387891840 is an abundant number, since it is smaller than the sum of its proper divisors (1178828160).

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

387891840 is a wasteful number, since it uses less digits than its factorization.

387891840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 387891840 is about 19694.9699161994. The cubic root of 387891840 is about 729.2955235384.

The spelling of 387891840 in words is "three hundred eighty-seven million, eight hundred ninety-one thousand, eight hundred forty".