3146873409 has 45 divisors (see below), whose sum is σ = 4932357969. Its totient is φ = 1999297080.

The previous prime is 3146873399. The next prime is 3146873419. The reversal of 3146873409 is 9043786413.

The square root of 3146873409 is 56097.

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

3146873409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3146873399) and next prime (3146873419).

It is not a de Polignac number, because 3146873409 - 2¹⁷ = 3146742337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3146873419) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 11611944 + ... + 11612214.

Almost surely, 2^3146873409 is an apocalyptic number.

3146873409 is the 56097-th square number.

3146873409 is the 28049-th centered octagonal number.

It is an amenable number.

3146873409 is a deficient number, since it is larger than the sum of its proper divisors (1785484560).

3146873409 is an frugal number, since it uses more digits than its factorization.

3146873409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The cubic root of 3146873409 is about 1465.4120471579.

It can be divided in two parts, 314687 and 3409, that added together give a square (318096 = 564²).

The spelling of 3146873409 in words is "three billion, one hundred forty-six million, eight hundred seventy-three thousand, four hundred nine".