3146636063376 has 405 divisors, whose sum is σ = 9722958347739. Its totient is φ = 949548727296.

The previous prime is 3146636063341. The next prime is 3146636063377. The reversal of 3146636063376 is 6733606366413.

The square root of 3146636063376 is 1773876.

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

3146636063376 is a `hidden beast` number, since 31 + 466 + 3 + 60 + 63 + 37 + 6 = 666.

3146636063376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 279709823376 + 2866926240000 = 528876^2 + 1693200^2 .

It is not an unprimeable number, because it can be changed into a prime (3146636063377) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 22968146380 + ... + 22968146516.

Almost surely, 2^{3146636063376} is an apocalyptic number.

3146636063376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3146636063376 is the 1773876-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3146636063376

3146636063376 is an abundant number, since it is smaller than the sum of its proper divisors (6576322284363).

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

3146636063376 is a wasteful number, since it uses less digits than its factorization.

3146636063376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 54.

The spelling of 3146636063376 in words is "three trillion, one hundred forty-six billion, six hundred thirty-six million, sixty-three thousand, three hundred seventy-six".