3493575442000 has 480 divisors, whose sum is σ = 10174125671424. Its totient is φ = 1155676032000.

The previous prime is 3493575441991. The next prime is 3493575442033. The reversal of 3493575442000 is 2445753943.

3493575442000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1133172459 + ... + 1133175541.

Almost surely, 2^{3493575442000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3493575442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5087062835712).

3493575442000 is an abundant number, since it is smaller than the sum of its proper divisors (6680550229424).

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

3493575442000 is a wasteful number, since it uses less digits than its factorization.

3493575442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3524 (or 3501 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 46.

The spelling of 3493575442000 in words is "three trillion, four hundred ninety-three billion, five hundred seventy-five million, four hundred forty-two thousand".