3405343305000 has 640 divisors, whose sum is σ = 13782508185600. Its totient is φ = 680669568000.

The previous prime is 3405343304971. The next prime is 3405343305059. The reversal of 3405343305000 is 5033435043.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 25869349 + ... + 26000651.

It is an arithmetic number, because the mean of its divisors is an integer number (21535169040).

Almost surely, 2^{3405343305000} is an apocalyptic number.

3405343305000 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 3405343305000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6891254092800).

3405343305000 is an abundant number, since it is smaller than the sum of its proper divisors (10377164880600).

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

3405343305000 is a wasteful number, since it uses less digits than its factorization.

3405343305000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131371 (or 131352 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 30.

The spelling of 3405343305000 in words is "three trillion, four hundred five billion, three hundred forty-three million, three hundred five thousand".