3287945472 has 216 divisors, whose sum is σ = 10432592352. Its totient is φ = 916070400.

The previous prime is 3287945413. The next prime is 3287945509. The reversal of 3287945472 is 2745497823.

Its product of digits (3386880) is a multiple of the sum of its prime factors (2205).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1541847 + ... + 1543977.

Almost surely, 2^3287945472 is an apocalyptic number.

3287945472 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 3287945472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5216296176).

3287945472 is an abundant number, since it is smaller than the sum of its proper divisors (7144646880).

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

3287945472 is a wasteful number, since it uses less digits than its factorization.

3287945472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2205 (or 2184 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 51.

The square root of 3287945472 is about 57340.6092747540. The cubic root of 3287945472 is about 1486.9905281776.

The spelling of 3287945472 in words is "three billion, two hundred eighty-seven million, nine hundred forty-five thousand, four hundred seventy-two".