3284800992 has 192 divisors, whose sum is σ = 10487232000. Its totient is φ = 992010240.

The previous prime is 3284800973. The next prime is 3284800993. The reversal of 3284800992 is 2990084823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3284800993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5483509 + ... + 5484107.

It is an arithmetic number, because the mean of its divisors is an integer number (54621000).

Almost surely, 2^3284800992 is an apocalyptic number.

3284800992 is a gapful number since it is divisible by the number (32) 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 3284800992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5243616000).

3284800992 is an abundant number, since it is smaller than the sum of its proper divisors (7202431008).

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

3284800992 is a wasteful number, since it uses less digits than its factorization.

3284800992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 3284800992 is about 57313.1834048677. The cubic root of 3284800992 is about 1486.5163411405.

The spelling of 3284800992 in words is "three billion, two hundred eighty-four million, eight hundred thousand, nine hundred ninety-two".