3284568000 has 840 divisors, whose sum is σ = 14428287120. Its totient is φ = 711244800.

The previous prime is 3284567983. The next prime is 3284568031. The reversal of 3284568000 is 8654823.

It is a tau number, because it is divible by the number of its divisors (840).

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 119 ways as a sum of consecutive naturals, for example, 172871991 + ... + 172872009.

Almost surely, 2^3284568000 is an apocalyptic number.

3284568000 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 3284568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7214143560).

3284568000 is an abundant number, since it is smaller than the sum of its proper divisors (11143719120).

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

3284568000 is an equidigital number, since it uses as much as digits as its factorization.

3284568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3284568000 is about 57311.1507474767. The cubic root of 3284568000 is about 1486.4811939474.

The spelling of 3284568000 in words is "three billion, two hundred eighty-four million, five hundred sixty-eight thousand".