386543082240 has 864 divisors, whose sum is σ = 1565749785600. Its totient is φ = 86221946880.

The previous prime is 386543082223. The next prime is 386543082319. The reversal of 386543082240 is 42280345683.

386543082240 is a `hidden beast` number, since 3 + 8 + 6 + 543 + 0 + 82 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 880507941 + ... + 880508379.

It is an arithmetic number, because the mean of its divisors is an integer number (1812210400).

Almost surely, 2^386543082240 is an apocalyptic number.

386543082240 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 386543082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782874892800).

386543082240 is an abundant number, since it is smaller than the sum of its proper divisors (1179206703360).

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

386543082240 is a wasteful number, since it uses less digits than its factorization.

386543082240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 386543082240 in words is "three hundred eighty-six billion, five hundred forty-three million, eighty-two thousand, two hundred forty".