3501044840160 has 288 divisors, whose sum is σ = 13712685255360. Its totient is φ = 796803784704.

The previous prime is 3501044840149. The next prime is 3501044840177. The reversal of 3501044840160 is 610484401053.

3501044840160 is a `hidden beast` number, since 3 + 5 + 0 + 10 + 4 + 484 + 0 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1603306 + ... + 3093974.

It is an arithmetic number, because the mean of its divisors is an integer number (47613490470).

Almost surely, 2^{3501044840160} is an apocalyptic number.

3501044840160 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 3501044840160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6856342627680).

3501044840160 is an abundant number, since it is smaller than the sum of its proper divisors (10211640415200).

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

3501044840160 is a wasteful number, since it uses less digits than its factorization.

3501044840160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490930 (or 1490919 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 3501044840160 in words is "three trillion, five hundred one billion, forty-four million, eight hundred forty thousand, one hundred sixty".