3521472342000 has 640 divisors, whose sum is σ = 11930829520896. Its totient is φ = 892483200000.

The previous prime is 3521472341993. The next prime is 3521472342019. The reversal of 3521472342000 is 2432741253.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6167201715 + ... + 6167202285.

Almost surely, 2^{3521472342000} is an apocalyptic number.

3521472342000 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 3521472342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5965414760448).

3521472342000 is an abundant number, since it is smaller than the sum of its proper divisors (8409357178896).

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

3521472342000 is a wasteful number, since it uses less digits than its factorization.

3521472342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The spelling of 3521472342000 in words is "three trillion, five hundred twenty-one billion, four hundred seventy-two million, three hundred forty-two thousand".