3275485200 has 720 divisors, whose sum is σ = 13600379520. Its totient is φ = 721797120.

The previous prime is 3275485193. The next prime is 3275485261. The reversal of 3275485200 is 25845723.

3275485200 is a `hidden beast` number, since 327 + 54 + 85 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 18298711 + ... + 18298889.

It is an arithmetic number, because the mean of its divisors is an integer number (18889416).

Almost surely, 2^3275485200 is an apocalyptic number.

3275485200 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 3275485200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6800189760).

3275485200 is an abundant number, since it is smaller than the sum of its proper divisors (10324894320).

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

3275485200 is a wasteful number, since it uses less digits than its factorization.

3275485200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 3275485200 is about 57231.8547663799. The cubic root of 3275485200 is about 1485.1097425955.

The spelling of 3275485200 in words is "three billion, two hundred seventy-five million, four hundred eighty-five thousand, two hundred".