3226116096 has 504 divisors, whose sum is σ = 11654210880. Its totient is φ = 854654976.

The previous prime is 3226116073. The next prime is 3226116097. The reversal of 3226116096 is 6906116223.

It is a happy number.

3226116096 is a `hidden beast` number, since 32 + 2 + 6 + 11 + 609 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3226116096.

It is not an unprimeable number, because it can be changed into a prime (3226116097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 68640745 + ... + 68640791.

Almost surely, 2^3226116096 is an apocalyptic number.

3226116096 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 3226116096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5827105440).

3226116096 is an abundant number, since it is smaller than the sum of its proper divisors (8428094784).

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

3226116096 is a wasteful number, since it uses less digits than its factorization.

3226116096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3226116096 is about 56798.9092853023. The cubic root of 3226116096 is about 1477.6105978519.

The spelling of 3226116096 in words is "three billion, two hundred twenty-six million, one hundred sixteen thousand, ninety-six".