387878582016 has 144 divisors (see below), whose sum is σ = 1147374054400. Its totient is φ = 129253542912.

The previous prime is 387878581969. The next prime is 387878582017. The reversal of 387878582016 is 610285878783.

387878582016 is a `hidden beast` number, since 38 + 7 + 8 + 7 + 8 + 582 + 0 + 16 = 666.

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

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387878582017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30731355 + ... + 30743973.

Almost surely, 2^387878582016 is an apocalyptic number.

387878582016 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 387878582016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573687027200).

387878582016 is an abundant number, since it is smaller than the sum of its proper divisors (759495472384).

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

387878582016 is a wasteful number, since it uses less digits than its factorization.

387878582016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17091 (or 17071 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The spelling of 387878582016 in words is "three hundred eighty-seven billion, eight hundred seventy-eight million, five hundred eighty-two thousand, sixteen".