34644004641 has 15 divisors (see below), whose sum is σ = 51754657603. Its totient is φ = 23094886320.

The previous prime is 34644004601. The next prime is 34644004651. The reversal of 34644004641 is 14640044643.

The square root of 34644004641 is 186129.

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

34644004641 is a `hidden beast` number, since 3 + 4 + 6 + 4 + 4 + 0 + 0 + 4 + 641 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3144854241 + 31499150400 = 56079^2 + 177480^2 .

It is not a de Polignac number, because 34644004641 - 2¹⁷ = 34643873569 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34644004596 and 34644004605.

It is not an unprimeable number, because it can be changed into a prime (34644004601) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1664821 + ... + 1685501.

Almost surely, 2^34644004641 is an apocalyptic number.

34644004641 is the 186129-th square number.

34644004641 is the 93065-th centered octagonal number.

It is an amenable number.

34644004641 is a deficient number, since it is larger than the sum of its proper divisors (17110652962).

34644004641 is an frugal number, since it uses more digits than its factorization.

34644004641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41374 (or 20684 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Multiplying 34644004641 by its sum of digits (36), we get a square (1247184167076 = 1116774²).

The spelling of 34644004641 in words is "thirty-four billion, six hundred forty-four million, four thousand, six hundred forty-one".