3220808400 has 120 divisors (see below), whose sum is σ = 11463730560. Its totient is φ = 858879360.

The previous prime is 3220808387. The next prime is 3220808431. The reversal of 3220808400 is 48080223.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138312 + ... + 159911.

It is an arithmetic number, because the mean of its divisors is an integer number (95531088).

Almost surely, 2^3220808400 is an apocalyptic number.

3220808400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3220808400 is an abundant number, since it is smaller than the sum of its proper divisors (8242922160).

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

3220808400 is a wasteful number, since it uses less digits than its factorization.

3220808400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298250 (or 298233 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3220808400 is about 56752.1664784702. The cubic root of 3220808400 is about 1476.7998176882.

Adding to 3220808400 its reverse (48080223), we get a palindrome (3268888623).

The spelling of 3220808400 in words is "three billion, two hundred twenty million, eight hundred eight thousand, four hundred".