386978042880 has 528 divisors, whose sum is σ = 1575313294464. Its totient is φ = 86595010560.

The previous prime is 386978042873. The next prime is 386978042911. The reversal of 386978042880 is 88240879683.

386978042880 is a `hidden beast` number, since 3 + 8 + 69 + 78 + 0 + 428 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6560077 + ... + 6618803.

Almost surely, 2^386978042880 is an apocalyptic number.

386978042880 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 386978042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787656647232).

386978042880 is an abundant number, since it is smaller than the sum of its proper divisors (1188335251584).

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

386978042880 is a wasteful number, since it uses less digits than its factorization.

386978042880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58782 (or 58761 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 386978042880 in words is "three hundred eighty-six billion, nine hundred seventy-eight million, forty-two thousand, eight hundred eighty".