3220106400 has 720 divisors, whose sum is σ = 13914109440. Its totient is φ = 709171200.

The previous prime is 3220106371. The next prime is 3220106473. The reversal of 3220106400 is 46010223.

It is a happy number.

3220106400 is a `hidden beast` number, since 3 + 2 + 20 + 1 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14061486 + ... + 14061714.

It is an arithmetic number, because the mean of its divisors is an integer number (19325152).

Almost surely, 2^3220106400 is an apocalyptic number.

3220106400 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 3220106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6957054720).

3220106400 is an abundant number, since it is smaller than the sum of its proper divisors (10694003040).

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

3220106400 is a wasteful number, since it uses less digits than its factorization.

3220106400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3220106400 is about 56745.9813555110. The cubic root of 3220106400 is about 1476.6925165936.

Adding to 3220106400 its reverse (46010223), we get a palindrome (3266116623).

The spelling of 3220106400 in words is "three billion, two hundred twenty million, one hundred six thousand, four hundred".