3270985200 has 480 divisors, whose sum is σ = 13592384000. Its totient is φ = 746807040.

The previous prime is 3270985199. The next prime is 3270985219. The reversal of 3270985200 is 25890723.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3703959 + ... + 3704841.

Almost surely, 2^3270985200 is an apocalyptic number.

3270985200 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 3270985200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6796192000).

3270985200 is an abundant number, since it is smaller than the sum of its proper divisors (10321398800).

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

3270985200 is a wasteful number, since it uses less digits than its factorization.

3270985200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3270985200 is about 57192.5274839292. The cubic root of 3270985200 is about 1484.4293287299.

The spelling of 3270985200 in words is "three billion, two hundred seventy million, nine hundred eighty-five thousand, two hundred".