3238284672 has 192 divisors, whose sum is σ = 10797564960. Its totient is φ = 912384000.

The previous prime is 3238284667. The next prime is 3238284689. The reversal of 3238284672 is 2764828323.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 585922 + ... + 591422.

Almost surely, 2^3238284672 is an apocalyptic number.

3238284672 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 3238284672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5398782480).

3238284672 is an abundant number, since it is smaller than the sum of its proper divisors (7559280288).

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

3238284672 is a wasteful number, since it uses less digits than its factorization.

3238284672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5601 (or 5586 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 3238284672 is about 56905.9282676243. The cubic root of 3238284672 is about 1479.4660650061.

The spelling of 3238284672 in words is "three billion, two hundred thirty-eight million, two hundred eighty-four thousand, six hundred seventy-two".