3403104400320 has 112 divisors (see below), whose sum is σ = 10808856175488. Its totient is φ = 907158574080.

The previous prime is 3403104400307. The next prime is 3403104400351. The reversal of 3403104400320 is 230044013043.

It is a super-2 number, since 2×3403104400320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1943955 + ... + 3253485.

It is an arithmetic number, because the mean of its divisors is an integer number (96507644424).

Almost surely, 2^{3403104400320} is an apocalyptic number.

3403104400320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3403104400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5404428087744).

3403104400320 is an abundant number, since it is smaller than the sum of its proper divisors (7405751775168).

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

3403104400320 is a wasteful number, since it uses less digits than its factorization.

3403104400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312258 (or 1312248 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 3403104400320 its reverse (230044013043), we get a palindrome (3633148413363).

The spelling of 3403104400320 in words is "three trillion, four hundred three billion, one hundred four million, four hundred thousand, three hundred twenty".