3283075200 has 192 divisors, whose sum is σ = 11284545600. Its totient is φ = 837365760.

The previous prime is 3283075193. The next prime is 3283075247. The reversal of 3283075200 is 25703823.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×3283075200³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213366 + ... + 228234.

It is an arithmetic number, because the mean of its divisors is an integer number (58773675).

Almost surely, 2^3283075200 is an apocalyptic number.

3283075200 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 3283075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5642272800).

3283075200 is an abundant number, since it is smaller than the sum of its proper divisors (8001470400).

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

3283075200 is a wasteful number, since it uses less digits than its factorization.

3283075200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14919 (or 14902 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 3283075200 is about 57298.1256237933. The cubic root of 3283075200 is about 1486.2559633757.

The spelling of 3283075200 in words is "three billion, two hundred eighty-three million, seventy-five thousand, two hundred".