3464899307776 has 81 divisors (see below), whose sum is σ = 6957107100489. Its totient is φ = 1722278833152.

The previous prime is 3464899307773. The next prime is 3464899307777. The reversal of 3464899307776 is 6777039984643.

The square root of 3464899307776 is 1861424.

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

It can be written as a sum of positive squares in only one way, i.e., 193952160000 + 3270947147776 = 440400^2 + 1808576^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3464899307699 and 3464899307708.

It is not an unprimeable number, because it can be changed into a prime (3464899307773) 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, 9441142345 + ... + 9441142711.

Almost surely, 2^{3464899307776} is an apocalyptic number.

3464899307776 is the 1861424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3464899307776

3464899307776 is an abundant number, since it is smaller than the sum of its proper divisors (3492207792713).

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

3464899307776 is an frugal number, since it uses more digits than its factorization.

3464899307776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 1152216576, while the sum is 73.

The spelling of 3464899307776 in words is "three trillion, four hundred sixty-four billion, eight hundred ninety-nine million, three hundred seven thousand, seven hundred seventy-six".