3406054802500 has 135 divisors (see below), whose sum is σ = 8666063001057. Its totient is φ = 1167568752000.

The previous prime is 3406054802483. The next prime is 3406054802531. The reversal of 3406054802500 is 52084506043.

The square root of 3406054802500 is 1845550.

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

It can be written as a sum of positive squares in 7 ways, for example, as 2636603032644 + 769451769856 = 1623762^2 + 877184^2 .

It is a super-3 number, since 3×3406054802500³ (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3406054802500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 645939864 + ... + 645945136.

Almost surely, 2^{3406054802500} is an apocalyptic number.

3406054802500 is the 1845550-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3406054802500

3406054802500 is an abundant number, since it is smaller than the sum of its proper divisors (5260008198557).

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

3406054802500 is an frugal number, since it uses more digits than its factorization.

3406054802500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10584 (or 5287 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

The spelling of 3406054802500 in words is "three trillion, four hundred six billion, fifty-four million, eight hundred two thousand, five hundred".