3413379609600 has 1056 divisors, whose sum is σ = 12148654817280. Its totient is φ = 842764124160.

The previous prime is 3413379609589. The next prime is 3413379609623. The reversal of 3413379609600 is 69069733143.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20940979119 + ... + 20940979281.

Almost surely, 2^{3413379609600} is an apocalyptic number.

3413379609600 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 3413379609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6074327408640).

3413379609600 is an abundant number, since it is smaller than the sum of its proper divisors (8735275207680).

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

3413379609600 is a wasteful number, since it uses less digits than its factorization.

3413379609600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 51.

The spelling of 3413379609600 in words is "three trillion, four hundred thirteen billion, three hundred seventy-nine million, six hundred nine thousand, six hundred".