3414663626320 has 40 divisors (see below), whose sum is σ = 7939177563240. Its totient is φ = 1365850890240.

The previous prime is 3414663626263. The next prime is 3414663626327. The reversal of 3414663626320 is 236263664143.

It can be written as a sum of positive squares in 4 ways, for example, as 180526096 + 3414483100224 = 13436^2 + 1847832^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414663626327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10417896 + ... + 10740664.

It is an arithmetic number, because the mean of its divisors is an integer number (198479439081).

Almost surely, 2^{3414663626320} is an apocalyptic number.

It is an amenable number.

3414663626320 is an abundant number, since it is smaller than the sum of its proper divisors (4524513936920).

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

3414663626320 is a wasteful number, since it uses less digits than its factorization.

3414663626320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455023 (or 455017 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 46.

The spelling of 3414663626320 in words is "three trillion, four hundred fourteen billion, six hundred sixty-three million, six hundred twenty-six thousand, three hundred twenty".