3400344321021 has 48 divisors (see below), whose sum is σ = 5134949492400. Its totient is φ = 2165490561024.

The previous prime is 3400344320969. The next prime is 3400344321041. The reversal of 3400344321021 is 1201234430043.

3400344321021 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 3 + 443 + 210 + 2 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5866028100 + 3394478292921 = 76590^2 + 1842411^2 .

It is not a de Polignac number, because 3400344321021 - 2⁶ = 3400344320957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400344321041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89020795 + ... + 89058983.

It is an arithmetic number, because the mean of its divisors is an integer number (106978114425).

Almost surely, 2^{3400344321021} is an apocalyptic number.

It is an amenable number.

3400344321021 is a deficient number, since it is larger than the sum of its proper divisors (1734605171379).

3400344321021 is a wasteful number, since it uses less digits than its factorization.

3400344321021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41838 (or 41835 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 3400344321021 its reverse (1201234430043), we get a palindrome (4601578751064).

The spelling of 3400344321021 in words is "three trillion, four hundred billion, three hundred forty-four million, three hundred twenty-one thousand, twenty-one".