3409484697441 has 9 divisors (see below), whose sum is σ = 4924819231059. Its totient is φ = 2272986105336.

The previous prime is 3409484697431. The next prime is 3409484697449. The reversal of 3409484697441 is 1447964849043.

The square root of 3409484697441 is 1846479.

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

3409484697441 is a `hidden beast` number, since 3 + 40 + 9 + 484 + 6 + 9 + 74 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3322107702225 + 87376995216 = 1822665^2 + 295596^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2^k-3409484697441 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3409484697449) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5231691 + ... + 5847183.

Almost surely, 2^{3409484697441} is an apocalyptic number.

3409484697441 is the 1846479-th square number.

3409484697441 is the 923240-th centered octagonal number.

It is an amenable number.

3409484697441 is a deficient number, since it is larger than the sum of its proper divisors (1515334533618).

3409484697441 is an frugal number, since it uses more digits than its factorization.

3409484697441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230992 (or 615496 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 3409484697441 in words is "three trillion, four hundred nine billion, four hundred eighty-four million, six hundred ninety-seven thousand, four hundred forty-one".