3485825760900 has 144 divisors (see below), whose sum is σ = 11533811788800. Its totient is φ = 796252252800.

The previous prime is 3485825760881. The next prime is 3485825760913. The reversal of 3485825760900 is 90675285843.

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, 2770801 + ... + 3827399.

It is an arithmetic number, because the mean of its divisors is an integer number (80095915200).

Almost surely, 2^{3485825760900} is an apocalyptic number.

3485825760900 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 3485825760900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5766905894400).

3485825760900 is an abundant number, since it is smaller than the sum of its proper divisors (8047986027900).

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

3485825760900 is a wasteful number, since it uses less digits than its factorization.

3485825760900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058194 (or 1058187 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 57.

The spelling of 3485825760900 in words is "three trillion, four hundred eighty-five billion, eight hundred twenty-five million, seven hundred sixty thousand, nine hundred".