3229782336 has 420 divisors, whose sum is σ = 11118331840. Its totient is φ = 923788800.

The previous prime is 3229782319. The next prime is 3229782341. The reversal of 3229782336 is 6332879223.

3229782336 is a `hidden beast` number, since 322 + 97 + 8 + 233 + 6 = 666.

Its product of digits (653184) is a multiple of the sum of its prime factors (336).

It is a junction number, because it is equal to n+sod(n) for n = 3229782291 and 3229782300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11917881 + ... + 11918151.

Almost surely, 2^3229782336 is an apocalyptic number.

3229782336 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 3229782336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5559165920).

3229782336 is an abundant number, since it is smaller than the sum of its proper divisors (7888549504).

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

3229782336 is a wasteful number, since it uses less digits than its factorization.

3229782336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 306 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 3229782336 is about 56831.1739804836. The cubic root of 3229782336 is about 1478.1701173176.

The spelling of 3229782336 in words is "three billion, two hundred twenty-nine million, seven hundred eighty-two thousand, three hundred thirty-six".