3475582272 has 336 divisors, whose sum is σ = 11098603152. Its totient is φ = 1035141120.

The previous prime is 3475582261. The next prime is 3475582291. The reversal of 3475582272 is 2722855743.

3475582272 is a `hidden beast` number, since 3 + 4 + 7 + 558 + 22 + 72 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 77158656 + 3398423616 = 8784^2 + 58296^2 .

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, 19202022 + ... + 19202202.

It is an arithmetic number, because the mean of its divisors is an integer number (33031557).

Almost surely, 2^3475582272 is an apocalyptic number.

3475582272 is a gapful number since it is divisible by the number (32) 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 3475582272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5549301576).

3475582272 is an abundant number, since it is smaller than the sum of its proper divisors (7623020880).

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

3475582272 is a wasteful number, since it uses less digits than its factorization.

3475582272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 293 counting only the distinct ones).

The product of its digits is 940800, while the sum is 45.

The square root of 3475582272 is about 58954.0691725346. The cubic root of 3475582272 is about 1514.7554524731.

The spelling of 3475582272 in words is "three billion, four hundred seventy-five million, five hundred eighty-two thousand, two hundred seventy-two".