3479344090000 has 225 divisors, whose sum is σ = 8816889582039. Its totient is φ = 1329585840000.

The previous prime is 3479344089989. The next prime is 3479344090007. The reversal of 3479344090000 is 904439743.

The square root of 3479344090000 is 1865300.

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

It can be written as a sum of positive squares in 2 ways, for example, as 272780576656 + 3206563513344 = 522284^2 + 1790688^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3479344090007) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4290189595 + ... + 4290190405.

Almost surely, 2^{3479344090000} is an apocalyptic number.

3479344090000 is the 1865300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3479344090000

3479344090000 is an abundant number, since it is smaller than the sum of its proper divisors (5337545492039).

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

3479344090000 is an frugal number, since it uses more digits than its factorization.

3479344090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 43.

The spelling of 3479344090000 in words is "three trillion, four hundred seventy-nine billion, three hundred forty-four million, ninety thousand".