3475872000 has 504 divisors, whose sum is σ = 13069438200. Its totient is φ = 920678400.

The previous prime is 3475871929. The next prime is 3475872011. The reversal of 3475872000 is 2785743.

It can be written as a sum of positive squares in 4 ways, for example, as 606341376 + 2869530624 = 24624^2 + 53568^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 23327926 + ... + 23328074.

It is an arithmetic number, because the mean of its divisors is an integer number (25931425).

Almost surely, 2^3475872000 is an apocalyptic number.

3475872000 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 3475872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6534719100).

3475872000 is an abundant number, since it is smaller than the sum of its proper divisors (9593566200).

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

3475872000 is an frugal number, since it uses more digits than its factorization.

3475872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 3475872000 is about 58956.5263562907. The cubic root of 3475872000 is about 1514.7975418113.

The spelling of 3475872000 in words is "three billion, four hundred seventy-five million, eight hundred seventy-two thousand".