3226506642 has 64 divisors (see below), whose sum is σ = 7310016000. Its totient is φ = 1054696464.

The previous prime is 3226506637. The next prime is 3226506659. The reversal of 3226506642 is 2466056223.

3226506642 is a `hidden beast` number, since 3 + 2 + 2 + 6 + 5 + 0 + 6 + 642 = 666.

It is a super-2 number, since 2×3226506642² = 20820690221740232328, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3226506597 and 3226506606.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 620409 + ... + 625587.

It is an arithmetic number, because the mean of its divisors is an integer number (114219000).

Almost surely, 2^3226506642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3226506642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3655008000).

3226506642 is an abundant number, since it is smaller than the sum of its proper divisors (4083509358).

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

3226506642 is a wasteful number, since it uses less digits than its factorization.

3226506642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5412 (or 5406 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3226506642 is about 56802.3471522084. The cubic root of 3226506642 is about 1477.6702207965.

The spelling of 3226506642 in words is "three billion, two hundred twenty-six million, five hundred six thousand, six hundred forty-two".