380506345686 has 80 divisors (see below), whose sum is σ = 857714102784. Its totient is φ = 126079255296.

The previous prime is 380506345643. The next prime is 380506345697. The reversal of 380506345686 is 686543605083.

It is a happy number.

380506345686 is a `hidden beast` number, since 3 + 8 + 0 + 50 + 63 + 456 + 86 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19420651 + ... + 19440233.

Almost surely, 2^380506345686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380506345686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428857051392).

380506345686 is an abundant number, since it is smaller than the sum of its proper divisors (477207757098).

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

380506345686 is a wasteful number, since it uses less digits than its factorization.

380506345686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20307 (or 20298 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 380506345686 in words is "three hundred eighty billion, five hundred six million, three hundred forty-five thousand, six hundred eighty-six".