3283123200 has 528 divisors, whose sum is σ = 12866033664. Its totient is φ = 722534400.

The previous prime is 3283123187. The next prime is 3283123223. The reversal of 3283123200 is 23213823.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 16665502 + ... + 16665698.

It is an arithmetic number, because the mean of its divisors is an integer number (24367488).

Almost surely, 2^3283123200 is an apocalyptic number.

3283123200 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 3283123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6433016832).

3283123200 is an abundant number, since it is smaller than the sum of its proper divisors (9582910464).

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

3283123200 is a wasteful number, since it uses less digits than its factorization.

3283123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3283123200 is about 57298.5444841315. The cubic root of 3283123200 is about 1486.2632065785.

The spelling of 3283123200 in words is "three billion, two hundred eighty-three million, one hundred twenty-three thousand, two hundred".