3281472000 has 480 divisors, whose sum is σ = 12315086784. Its totient is φ = 870912000.

The previous prime is 3281471993. The next prime is 3281472001. The reversal of 3281472000 is 2741823.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (3281472001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15551895 + ... + 15552105.

Almost surely, 2^3281472000 is an apocalyptic number.

3281472000 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 3281472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6157543392).

3281472000 is an abundant number, since it is smaller than the sum of its proper divisors (9033614784).

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

3281472000 is an frugal number, since it uses more digits than its factorization.

3281472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 3281472000 is about 57284.1339290383. The cubic root of 3281472000 is about 1486.0139998331.

The spelling of 3281472000 in words is "three billion, two hundred eighty-one million, four hundred seventy-two thousand".