3415654944 has 108 divisors (see below), whose sum is σ = 10518068106. Its totient is φ = 1050955776.

The previous prime is 3415654939. The next prime is 3415654961. The reversal of 3415654944 is 4494565143.

3415654944 is a `hidden beast` number, since 3 + 4 + 1 + 565 + 49 + 44 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 751856400 + 2663798544 = 27420^2 + 51612^2 .

It is a super-4 number, since 4×3415654944⁴ (a number of 39 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3415654944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13584 + ... + 83760.

Almost surely, 2^3415654944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3415654944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5259034053).

3415654944 is an abundant number, since it is smaller than the sum of its proper divisors (7102413162).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3415654944 is a wasteful number, since it uses less digits than its factorization.

3415654944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70219 (or 70195 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 3415654944 is about 58443.6048169515. The cubic root of 3415654944 is about 1505.9989312331.

The spelling of 3415654944 in words is "three billion, four hundred fifteen million, six hundred fifty-four thousand, nine hundred forty-four".