3226889736 has 192 divisors, whose sum is σ = 10280649600. Its totient is φ = 895325184.

The previous prime is 3226889693. The next prime is 3226889741. The reversal of 3226889736 is 6379886223.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2857620 + ... + 2858748.

It is an arithmetic number, because the mean of its divisors is an integer number (53545050).

Almost surely, 2^3226889736 is an apocalyptic number.

3226889736 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 3226889736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5140324800).

3226889736 is an abundant number, since it is smaller than the sum of its proper divisors (7053759864).

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

3226889736 is a wasteful number, since it uses less digits than its factorization.

3226889736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308 (or 1301 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 3226889736 is about 56805.7192191068. The cubic root of 3226889736 is about 1477.7287014026.

The spelling of 3226889736 in words is "three billion, two hundred twenty-six million, eight hundred eighty-nine thousand, seven hundred thirty-six".