3226562976 has 288 divisors, whose sum is σ = 11172893760. Its totient is φ = 805883904.

The previous prime is 3226562953. The next prime is 3226562993. The reversal of 3226562976 is 6792656223.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 47 ways as a sum of consecutive naturals, for example, 1160500 + ... + 1163276.

It is an arithmetic number, because the mean of its divisors is an integer number (38794770).

Almost surely, 2^3226562976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3226562976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5586446880).

3226562976 is an abundant number, since it is smaller than the sum of its proper divisors (7946330784).

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

3226562976 is a wasteful number, since it uses less digits than its factorization.

3226562976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2836 (or 2821 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 48.

The square root of 3226562976 is about 56802.8430274401. The cubic root of 3226562976 is about 1477.6788206641.

The spelling of 3226562976 in words is "three billion, two hundred twenty-six million, five hundred sixty-two thousand, nine hundred seventy-six".