3228529536 has 256 divisors, whose sum is σ = 9854668800. Its totient is φ = 1040117760.

The previous prime is 3228529531. The next prime is 3228529547. The reversal of 3228529536 is 6359258223.

3228529536 is a `hidden beast` number, since 32 + 2 + 85 + 2 + 9 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3228529491 and 3228529500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3228529531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16903201 + ... + 16903391.

It is an arithmetic number, because the mean of its divisors is an integer number (38494800).

Almost surely, 2^3228529536 is an apocalyptic number.

3228529536 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 3228529536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4927334400).

3228529536 is an abundant number, since it is smaller than the sum of its proper divisors (6626139264).

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

3228529536 is a wasteful number, since it uses less digits than its factorization.

3228529536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 336 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 3228529536 is about 56820.1507917746. The cubic root of 3228529536 is about 1477.9789701731.

The spelling of 3228529536 in words is "three billion, two hundred twenty-eight million, five hundred twenty-nine thousand, five hundred thirty-six".