3504410120000 has 140 divisors (see below), whose sum is σ = 8700023054580. Its totient is φ = 1400114688000.

The previous prime is 3504410119963. The next prime is 3504410120027. The reversal of 3504410120000 is 210144053.

It can be written as a sum of positive squares in 10 ways, for example, as 1647382518016 + 1857027601984 = 1283504^2 + 1362728^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34228886 + ... + 34331114.

Almost surely, 2^{3504410120000} 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 3504410120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4350011527290).

3504410120000 is an abundant number, since it is smaller than the sum of its proper divisors (5195612934580).

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

3504410120000 is an equidigital number, since it uses as much as digits as its factorization.

3504410120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103118 (or 103093 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 3504410120000 its reverse (210144053), we get a palindrome (3504620264053).

The spelling of 3504410120000 in words is "three trillion, five hundred four billion, four hundred ten million, one hundred twenty thousand".