3226728960 has 1120 divisors, whose sum is σ = 15027788160. Its totient is φ = 644972544.

The previous prime is 3226728943. The next prime is 3226728971. The reversal of 3226728960 is 698276223.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 169827831 + ... + 169827849.

It is an arithmetic number, because the mean of its divisors is an integer number (13417668).

Almost surely, 2^3226728960 is an apocalyptic number.

3226728960 is a gapful number since it is divisible by the number (30) 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 3226728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7513894080).

3226728960 is an abundant number, since it is smaller than the sum of its proper divisors (11801059200).

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

3226728960 is an equidigital number, since it uses as much as digits as its factorization.

3226728960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3226728960 is about 56804.3040622804. The cubic root of 3226728960 is about 1477.7041589614.

The spelling of 3226728960 in words is "three billion, two hundred twenty-six million, seven hundred twenty-eight thousand, nine hundred sixty".