3505404522000 has 640 divisors, whose sum is σ = 12417083827200. Its totient is φ = 846827520000.

The previous prime is 3505404521893. The next prime is 3505404522019. The reversal of 3505404522000 is 2254045053.

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 127 ways as a sum of consecutive naturals, for example, 1061920350 + ... + 1061923650.

It is an arithmetic number, because the mean of its divisors is an integer number (19401693480).

Almost surely, 2^{3505404522000} is an apocalyptic number.

3505404522000 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 3505404522000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6208541913600).

3505404522000 is an abundant number, since it is smaller than the sum of its proper divisors (8911679305200).

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

3505404522000 is a wasteful number, since it uses less digits than its factorization.

3505404522000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3732 (or 3716 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

Adding to 3505404522000 its reverse (2254045053), we get a palindrome (3507658567053).

The spelling of 3505404522000 in words is "three trillion, five hundred five billion, four hundred four million, five hundred twenty-two thousand".