387140906880 has 768 divisors, whose sum is σ = 1656725616000. Its totient is φ = 81117904896.

The previous prime is 387140906879. The next prime is 387140906899. The reversal of 387140906880 is 88609041783.

387140906880 is a `hidden beast` number, since 38 + 71 + 409 + 0 + 68 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78097362 + ... + 78102318.

Almost surely, 2^387140906880 is an apocalyptic number.

387140906880 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 387140906880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828362808000).

387140906880 is an abundant number, since it is smaller than the sum of its proper divisors (1269584709120).

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

387140906880 is a wasteful number, since it uses less digits than its factorization.

387140906880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5151 (or 5136 counting only the distinct ones).

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

The spelling of 387140906880 in words is "three hundred eighty-seven billion, one hundred forty million, nine hundred six thousand, eight hundred eighty".