386406987408 has 320 divisors, whose sum is σ = 1229574635520. Its totient is φ = 115438514688.

The previous prime is 386406987403. The next prime is 386406987437. The reversal of 386406987408 is 804789604683.

386406987408 is a `hidden beast` number, since 38 + 64 + 0 + 69 + 87 + 408 = 666.

It is not an unprimeable number, because it can be changed into a prime (386406987403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33516141 + ... + 33527667.

It is an arithmetic number, because the mean of its divisors is an integer number (3842420736).

Almost surely, 2^386406987408 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 386406987408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614787317760).

386406987408 is an abundant number, since it is smaller than the sum of its proper divisors (843167648112).

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

386406987408 is a wasteful number, since it uses less digits than its factorization.

386406987408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11731 (or 11719 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 386406987408 in words is "three hundred eighty-six billion, four hundred six million, nine hundred eighty-seven thousand, four hundred eight".