3905433631089 has 27 divisors (see below), whose sum is σ = 5735707475979. Its totient is φ = 2560702939920.

The previous prime is 3905433631081. The next prime is 3905433631093. The reversal of 3905433631089 is 9801363345093.

The square root of 3905433631089 is 1976217.

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

3905433631089 is a `hidden beast` number, since 3 + 9 + 0 + 543 + 3 + 6 + 3 + 10 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 126997438689 + 3778436192400 = 356367^2 + 1943820^2 .

It is not a de Polignac number, because 3905433631089 - 2³ = 3905433631081 is a prime.

It is a super-2 number, since 2×3905433631089² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3905433631081) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 361642312 + ... + 361653110.

Almost surely, 2^{3905433631089} is an apocalyptic number.

3905433631089 is the 1976217-th square number.

3905433631089 is the 988109-th centered octagonal number.

It is an amenable number.

3905433631089 is a deficient number, since it is larger than the sum of its proper divisors (1830273844890).

3905433631089 is an frugal number, since it uses more digits than its factorization.

3905433631089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21726 (or 10863 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 3905433631089 in words is "three trillion, nine hundred five billion, four hundred thirty-three million, six hundred thirty-one thousand, eighty-nine".