3501845226880 has 1536 divisors, whose sum is σ = 12229716441600. Its totient is φ = 939748884480.

The previous prime is 3501845226871. The next prime is 3501845226907. The reversal of 3501845226880 is 886225481053.

3501845226880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6219973479 + ... + 6219974041.

It is an arithmetic number, because the mean of its divisors is an integer number (7962054975).

Almost surely, 2^{3501845226880} 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 3501845226880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6114858220800).

3501845226880 is an abundant number, since it is smaller than the sum of its proper divisors (8727871214720).

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

3501845226880 is a wasteful number, since it uses less digits than its factorization.

3501845226880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 52.

The spelling of 3501845226880 in words is "three trillion, five hundred one billion, eight hundred forty-five million, two hundred twenty-six thousand, eight hundred eighty".