3462825991689 has 49 divisors (see below), whose sum is σ = 5321660533771. Its totient is φ = 2252244547440.

The previous prime is 3462825991687. The next prime is 3462825991721. The reversal of 3462825991689 is 9861995282643.

The square root of 3462825991689 is 1860867.

The cubic root of 3462825991689 is 15129.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

3462825991689 is a `hidden beast` number, since 3 + 4 + 6 + 28 + 2 + 599 + 1 + 6 + 8 + 9 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1314959878089 + 2147866113600 = 1146717^2 + 1465560^2 .

It is not a de Polignac number, because 3462825991689 - 2¹ = 3462825991687 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3462825991687) by changing a digit.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 84459170509 + ... + 84459170549.

Almost surely, 2^{3462825991689} is an apocalyptic number.

3462825991689 is the 1860867-th square number.

3462825991689 is the 930434-th centered octagonal number.

It is an amenable number.

3462825991689 is a deficient number, since it is larger than the sum of its proper divisors (1858834542082).

3462825991689 is an frugal number, since it uses more digits than its factorization.

3462825991689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 44 counting only the distinct ones).

The product of its digits is 403107840, while the sum is 72.

The spelling of 3462825991689 in words is "three trillion, four hundred sixty-two billion, eight hundred twenty-five million, nine hundred ninety-one thousand, six hundred eighty-nine".