3220138800 has 300 divisors, whose sum is σ = 11632751240. Its totient is φ = 856604160.

The previous prime is 3220138783. The next prime is 3220138849. The reversal of 3220138800 is 88310223.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7872996 + ... + 7873404.

Almost surely, 2^3220138800 is an apocalyptic number.

3220138800 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 3220138800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5816375620).

3220138800 is an abundant number, since it is smaller than the sum of its proper divisors (8412612440).

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

3220138800 is an frugal number, since it uses more digits than its factorization.

3220138800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3220138800 is about 56746.2668375639. The cubic root of 3220138800 is about 1476.6974692950.

The spelling of 3220138800 in words is "three billion, two hundred twenty million, one hundred thirty-eight thousand, eight hundred".