3226780800 has 480 divisors, whose sum is σ = 12166743600. Its totient is φ = 841881600.

The previous prime is 3226780789. The next prime is 3226780801. The reversal of 3226780800 is 80876223.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3226780800² = 20824228662497280000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3226780801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15292695 + ... + 15292905.

Almost surely, 2^3226780800 is an apocalyptic number.

3226780800 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 3226780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6083371800).

3226780800 is an abundant number, since it is smaller than the sum of its proper divisors (8939962800).

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

3226780800 is a wasteful number, since it uses less digits than its factorization.

3226780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3226780800 is about 56804.7603638991. The cubic root of 3226780800 is about 1477.7120724215.

The spelling of 3226780800 in words is "three billion, two hundred twenty-six million, seven hundred eighty thousand, eight hundred".