386982084048 has 360 divisors, whose sum is σ = 1193443900416. Its totient is φ = 107729879040.

The previous prime is 386982084029. The next prime is 386982084053. The reversal of 386982084048 is 840480289683.

It is a junction number, because it is equal to n+sod(n) for n = 386982083982 and 386982084000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1505766736 + ... + 1505766992.

Almost surely, 2^386982084048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 386982084048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596721950208).

386982084048 is an abundant number, since it is smaller than the sum of its proper divisors (806461816368).

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

386982084048 is a wasteful number, since it uses less digits than its factorization.

386982084048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 60.

The spelling of 386982084048 in words is "three hundred eighty-six billion, nine hundred eighty-two million, eighty-four thousand, forty-eight".