387894816 has 144 divisors (see below), whose sum is σ = 1188794880. Its totient is φ = 119623680.

The previous prime is 387894811. The next prime is 387894877. The reversal of 387894816 is 618498783.

387894816 is a `hidden beast` number, since 3 + 87 + 89 + 481 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (387894811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204400 + ... + 206288.

It is an arithmetic number, because the mean of its divisors is an integer number (8255520).

Almost surely, 2^387894816 is an apocalyptic number.

387894816 is a gapful number since it is divisible by the number (36) 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 387894816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594397440).

387894816 is an abundant number, since it is smaller than the sum of its proper divisors (800900064).

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

387894816 is a wasteful number, since it uses less digits than its factorization.

387894816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959 (or 1948 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 387894816 is about 19695.0454683405. The cubic root of 387894816 is about 729.2973886442.

The spelling of 387894816 in words is "three hundred eighty-seven million, eight hundred ninety-four thousand, eight hundred sixteen".