386968907520 has 432 divisors, whose sum is σ = 1495280203872. Its totient is φ = 95252889600.

The previous prime is 386968907497. The next prime is 386968907561. The reversal of 386968907520 is 25709869683.

386968907520 is a `hidden beast` number, since 386 + 96 + 89 + 0 + 75 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3995670 + ... + 4091370.

Almost surely, 2^386968907520 is an apocalyptic number.

386968907520 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 386968907520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747640101936).

386968907520 is an abundant number, since it is smaller than the sum of its proper divisors (1108311296352).

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

386968907520 is an equidigital number, since it uses as much as digits as its factorization.

386968907520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95750 (or 95724 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 386968907520 in words is "three hundred eighty-six billion, nine hundred sixty-eight million, nine hundred seven thousand, five hundred twenty".