3226574736 has 600 divisors, whose sum is σ = 12315283200. Its totient is φ = 805593600.

The previous prime is 3226574723. The next prime is 3226574753. The reversal of 3226574736 is 6374756223.

3226574736 is a `hidden beast` number, since 3 + 2 + 2 + 6 + 574 + 73 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3226574691 and 3226574700.

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 21654790 + ... + 21654938.

It is an arithmetic number, because the mean of its divisors is an integer number (20525472).

Almost surely, 2^3226574736 is an apocalyptic number.

3226574736 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 3226574736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6157641600).

3226574736 is an abundant number, since it is smaller than the sum of its proper divisors (9088708464).

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

3226574736 is a wasteful number, since it uses less digits than its factorization.

3226574736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 203 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 45.

The square root of 3226574736 is about 56802.9465432912. The cubic root of 3226574736 is about 1477.6806159162.

The spelling of 3226574736 in words is "three billion, two hundred twenty-six million, five hundred seventy-four thousand, seven hundred thirty-six".