3465509881744 has 45 divisors (see below), whose sum is σ = 6739288632531. Its totient is φ = 1726362247680.

The previous prime is 3465509881733. The next prime is 3465509881751. The reversal of 3465509881744 is 4471889055643.

The square root of 3465509881744 is 1861588.

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

It can be written as a sum of positive squares in 4 ways, for example, as 273884755600 + 3191625126144 = 523340^2 + 1786512^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2509419934 + ... + 2509421314.

Almost surely, 2^{3465509881744} is an apocalyptic number.

3465509881744 is the 1861588-th square number.

It is an amenable number.

3465509881744 is a deficient number, since it is larger than the sum of its proper divisors (3273778750787).

3465509881744 is an frugal number, since it uses more digits than its factorization.

3465509881744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3444 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 64.

Multiplying 3465509881744 by its sum of digits (64), we get a square (221792632431616 = 14892704²).

The spelling of 3465509881744 in words is "three trillion, four hundred sixty-five billion, five hundred nine million, eight hundred eighty-one thousand, seven hundred forty-four".