3064537743345 has 96 divisors (see below), whose sum is σ = 5760955418400. Its totient is φ = 1498025594880.

The previous prime is 3064537743271. The next prime is 3064537743349. The reversal of 3064537743345 is 5433477354603.

3064537743345 is a `hidden beast` number, since 3 + 0 + 6 + 4 + 537 + 74 + 3 + 34 + 5 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1997450809344 + 1067086934001 = 1413312^2 + 1032999^2 .

It is not a de Polignac number, because 3064537743345 - 2¹¹ = 3064537741297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3064537743291 and 3064537743300.

It is not an unprimeable number, because it can be changed into a prime (3064537743349) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 349788765 + ... + 349797525.

It is an arithmetic number, because the mean of its divisors is an integer number (60009952275).

Almost surely, 2^{3064537743345} is an apocalyptic number.

It is an amenable number.

3064537743345 is a deficient number, since it is larger than the sum of its proper divisors (2696417675055).

3064537743345 is a wasteful number, since it uses less digits than its factorization.

3064537743345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12947 (or 12944 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 54.

The spelling of 3064537743345 in words is "three trillion, sixty-four billion, five hundred thirty-seven million, seven hundred forty-three thousand, three hundred forty-five".