3220793400 has 192 divisors, whose sum is σ = 10944835200. Its totient is φ = 777024000.

The previous prime is 3220793371. The next prime is 3220793413. The reversal of 3220793400 is 43970223.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 1510335 + ... + 1512465.

It is an arithmetic number, because the mean of its divisors is an integer number (57004350).

Almost surely, 2^3220793400 is an apocalyptic number.

3220793400 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 3220793400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5472417600).

3220793400 is an abundant number, since it is smaller than the sum of its proper divisors (7724041800).

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

3220793400 is a wasteful number, since it uses less digits than its factorization.

3220793400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 3220793400 is about 56752.0343247711. The cubic root of 3220793400 is about 1476.7975250928.

The spelling of 3220793400 in words is "three billion, two hundred twenty million, seven hundred ninety-three thousand, four hundred".