3228686496 has 144 divisors (see below), whose sum is σ = 10509827328. Its totient is φ = 921024000.

The previous prime is 3228686467. The next prime is 3228686509. The reversal of 3228686496 is 6946868223.

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 2481046 + ... + 2482346.

It is an arithmetic number, because the mean of its divisors is an integer number (72984912).

Almost surely, 2^3228686496 is an apocalyptic number.

3228686496 is a gapful number since it is divisible by the number (36) 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 3228686496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5254913664).

3228686496 is an abundant number, since it is smaller than the sum of its proper divisors (7281140832).

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

3228686496 is a wasteful number, since it uses less digits than its factorization.

3228686496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2555 (or 2544 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 3228686496 is about 56821.5319751237. The cubic root of 3228686496 is about 1478.0029212028.

The spelling of 3228686496 in words is "three billion, two hundred twenty-eight million, six hundred eighty-six thousand, four hundred ninety-six".