3219652800 has 1134 divisors, whose sum is σ = 14948332308. Its totient is φ = 679311360.

The previous prime is 3219652783. The next prime is 3219652801. The reversal of 3219652800 is 82569123.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (1134).

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 (3219652801) by changing a digit.

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 161 ways as a sum of consecutive naturals, for example, 247665594 + ... + 247665606.

Almost surely, 2^3219652800 is an apocalyptic number.

3219652800 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 3219652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7474166154).

3219652800 is an abundant number, since it is smaller than the sum of its proper divisors (11728679508).

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

3219652800 is a wasteful number, since it uses less digits than its factorization.

3219652800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3219652800 is about 56741.9844559564. The cubic root of 3219652800 is about 1476.6231752845.

The spelling of 3219652800 in words is "three billion, two hundred nineteen million, six hundred fifty-two thousand, eight hundred".