3461423040100 has 27 divisors (see below), whose sum is σ = 7511328369867. Its totient is φ = 1384561774080.

The previous prime is 3461423040071. The next prime is 3461423040143. The reversal of 3461423040100 is 10403241643.

The square root of 3461423040100 is 1860490.

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 665865792036 + 2795557248064 = 816006^2 + 1671992^2 .

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, 18511876 + ... + 18697924.

Almost surely, 2^{3461423040100} is an apocalyptic number.

3461423040100 is the 1860490-th square number.

It is an amenable number.

3461423040100 is an abundant number, since it is smaller than the sum of its proper divisors (4049905329767).

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

3461423040100 is an frugal number, since it uses more digits than its factorization.

3461423040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372112 (or 186056 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 3461423040100 its reverse (10403241643), we get a palindrome (3471826281743).

The spelling of 3461423040100 in words is "three trillion, four hundred sixty-one billion, four hundred twenty-three million, forty thousand, one hundred".