3403400314320 has 120 divisors (see below), whose sum is σ = 11433422479752. Its totient is φ = 907282022400.

The previous prime is 3403400314297. The next prime is 3403400314337. The reversal of 3403400314320 is 234130043043.

3403400314320 is a `hidden beast` number, since 3 + 4 + 0 + 340 + 0 + 314 + 3 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 393189194304 + 3010211120016 = 627048^2 + 1734996^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1489840 + ... + 3004400.

Almost surely, 2^{3403400314320} is an apocalyptic number.

3403400314320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3403400314320 is an abundant number, since it is smaller than the sum of its proper divisors (8030022165432).

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

3403400314320 is a wasteful number, since it uses less digits than its factorization.

3403400314320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517701 (or 1517692 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 3403400314320 its reverse (234130043043), we get a palindrome (3637530357363).

The spelling of 3403400314320 in words is "three trillion, four hundred three billion, four hundred million, three hundred fourteen thousand, three hundred twenty".