3226257216 has 420 divisors, whose sum is σ = 11993082948. Its totient is φ = 850010112.

The previous prime is 3226257211. The next prime is 3226257233. The reversal of 3226257216 is 6127526223.

3226257216 is a `hidden beast` number, since 3 + 2 + 2 + 625 + 7 + 21 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1835265600 + 1390991616 = 42840^2 + 37296^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3226257211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3301720 + ... + 3302696.

Almost surely, 2^3226257216 is an apocalyptic number.

3226257216 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 3226257216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5996541474).

3226257216 is an abundant number, since it is smaller than the sum of its proper divisors (8766825732).

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

3226257216 is a wasteful number, since it uses less digits than its factorization.

3226257216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1002 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 3226257216 is about 56800.1515490936. The cubic root of 3226257216 is about 1477.6321425784.

The spelling of 3226257216 in words is "three billion, two hundred twenty-six million, two hundred fifty-seven thousand, two hundred sixteen".