3226602960 has 180 divisors, whose sum is σ = 12605290308. Its totient is φ = 737501184.

The previous prime is 3226602949. The next prime is 3226603007. The reversal of 3226602960 is 692066223.

It can be written as a sum of positive squares in 2 ways, for example, as 869306256 + 2357296704 = 29484^2 + 48552^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×3226602960² = 20821933322961523200, which contains 22 as substring.

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

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 10449 + ... + 81008.

Almost surely, 2^3226602960 is an apocalyptic number.

3226602960 is a gapful number since it is divisible by the number (30) 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 3226602960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6302645154).

3226602960 is an abundant number, since it is smaller than the sum of its proper divisors (9378687348).

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

3226602960 is a wasteful number, since it uses less digits than its factorization.

3226602960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91490 (or 91474 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3226602960 is about 56803.1949805643. The cubic root of 3226602960 is about 1477.6849245034.

The spelling of 3226602960 in words is "three billion, two hundred twenty-six million, six hundred two thousand, nine hundred sixty".