3403349913600 has 2496 divisors, whose sum is σ = 15671110318080. Its totient is φ = 713769615360.

The previous prime is 3403349913599. The next prime is 3403349913637. The reversal of 3403349913600 is 63199433043.

3403349913600 is a `hidden beast` number, since 3 + 4 + 0 + 3 + 34 + 9 + 9 + 1 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a super-2 number, since 2×3403349913600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 20379340717 + ... + 20379340883.

Almost surely, 2^{3403349913600} is an apocalyptic number.

3403349913600 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 3403349913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7835555159040).

3403349913600 is an abundant number, since it is smaller than the sum of its proper divisors (12267760404480).

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

3403349913600 is an equidigital number, since it uses as much as digits as its factorization.

3403349913600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 45.

The spelling of 3403349913600 in words is "three trillion, four hundred three billion, three hundred forty-nine million, nine hundred thirteen thousand, six hundred".