3226947360 has 192 divisors, whose sum is σ = 12510796032. Its totient is φ = 680841216.

The previous prime is 3226947359. The next prime is 3226947377. The reversal of 3226947360 is 637496223.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6742 + ... + 80618.

It is an arithmetic number, because the mean of its divisors is an integer number (65160396).

Almost surely, 2^3226947360 is an apocalyptic number.

3226947360 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 3226947360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6255398016).

3226947360 is an abundant number, since it is smaller than the sum of its proper divisors (9283848672).

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

3226947360 is a wasteful number, since it uses less digits than its factorization.

3226947360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73915 (or 73907 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The square root of 3226947360 is about 56806.2264192932. The cubic root of 3226947360 is about 1477.7374975024.

The spelling of 3226947360 in words is "three billion, two hundred twenty-six million, nine hundred forty-seven thousand, three hundred sixty".