387682080846736 has 135 divisors (see below), whose sum is σ = 823956058599219. Its totient is φ = 176628393017856.

The previous prime is 387682080846721. The next prime is 387682080846757. The reversal of 387682080846736 is 637648080286783.

The square root of 387682080846736 is 19689644.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 111986606736 + 387570094240000 = 334644^2 + 19686800^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 80885055156 + ... + 80885059948.

Almost surely, 2^{387682080846736} is an apocalyptic number.

387682080846736 is the 19689644-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387682080846736

387682080846736 is an abundant number, since it is smaller than the sum of its proper divisors (436273977752483).

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

387682080846736 is an frugal number, since it uses more digits than its factorization.

387682080846736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9778 (or 4887 counting only the distinct ones).

The product of its (nonzero) digits is 3121348608, while the sum is 76.

The spelling of 387682080846736 in words is "three hundred eighty-seven trillion, six hundred eighty-two billion, eighty million, eight hundred forty-six thousand, seven hundred thirty-six".