386691435648 has 384 divisors, whose sum is σ = 1335847896000. Its totient is φ = 109797617664.

The previous prime is 386691435617. The next prime is 386691435661. The reversal of 386691435648 is 846534196683.

386691435648 is a `hidden beast` number, since 3 + 8 + 6 + 69 + 1 + 4 + 3 + 564 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×386691435648² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 27596068 + ... + 27610076.

Almost surely, 2^386691435648 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 386691435648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667923948000).

386691435648 is an abundant number, since it is smaller than the sum of its proper divisors (949156460352).

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

386691435648 is a wasteful number, since it uses less digits than its factorization.

386691435648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14209 (or 14184 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 63.

The spelling of 386691435648 in words is "three hundred eighty-six billion, six hundred ninety-one million, four hundred thirty-five thousand, six hundred forty-eight".