3281904000 has 512 divisors, whose sum is σ = 12373171200. Its totient is φ = 854784000.

The previous prime is 3281903951. The next prime is 3281904023. The reversal of 3281904000 is 4091823.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30671947 + ... + 30672053.

It is an arithmetic number, because the mean of its divisors is an integer number (24166350).

Almost surely, 2^3281904000 is an apocalyptic number.

3281904000 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 3281904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6186585600).

3281904000 is an abundant number, since it is smaller than the sum of its proper divisors (9091267200).

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

3281904000 is a wasteful number, since it uses less digits than its factorization.

3281904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3281904000 is about 57287.9044825345. The cubic root of 3281904000 is about 1486.0792073456.

Adding to 3281904000 its reverse (4091823), we get a palindrome (3285995823).

The spelling of 3281904000 in words is "three billion, two hundred eighty-one million, nine hundred four thousand".