3284164800 has 504 divisors, whose sum is σ = 13783657472. Its totient is φ = 725760000.

The previous prime is 3284164789. The next prime is 3284164811. The reversal of 3284164800 is 84614823.

3284164800 is a `hidden beast` number, since 3 + 2 + 8 + 4 + 1 + 648 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3284164789) and next prime (3284164811).

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3124275 + ... + 3125325.

Almost surely, 2^3284164800 is an apocalyptic number.

3284164800 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 3284164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6891828736).

3284164800 is an abundant number, since it is smaller than the sum of its proper divisors (10499492672).

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

3284164800 is a wasteful number, since it uses less digits than its factorization.

3284164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 3284164800 is about 57307.6329994530. The cubic root of 3284164800 is about 1486.4203666946.

The spelling of 3284164800 in words is "three billion, two hundred eighty-four million, one hundred sixty-four thousand, eight hundred".