3412923708100 has 81 divisors (see below), whose sum is σ = 7613142393717. Its totient is φ = 1328006983680.

The previous prime is 3412923708079. The next prime is 3412923708119. The reversal of 3412923708100 is 18073292143.

The square root of 3412923708100 is 1847410.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1174045929156 + 2238877778944 = 1083534^2 + 1496288^2 .

It is a super-2 number, since 2×3412923708100² (a number of 26 digits) contains 22 as substring.

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 26 ways as a sum of consecutive naturals, for example, 683539204 + ... + 683544196.

Almost surely, 2^{3412923708100} is an apocalyptic number.

3412923708100 is the 1847410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3412923708100

3412923708100 is an abundant number, since it is smaller than the sum of its proper divisors (4200218685617).

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

3412923708100 is an frugal number, since it uses more digits than its factorization.

3412923708100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10074 (or 5037 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 3412923708100 in words is "three trillion, four hundred twelve billion, nine hundred twenty-three million, seven hundred eight thousand, one hundred".