3222258791400 has 384 divisors, whose sum is σ = 12111995318400. Its totient is φ = 780888268800.

The previous prime is 3222258791363. The next prime is 3222258791419. The reversal of 3222258791400 is 41978522223.

3222258791400 is a `hidden beast` number, since 3 + 2 + 2 + 22 + 587 + 9 + 1 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 218406424 + ... + 218421176.

It is an arithmetic number, because the mean of its divisors is an integer number (31541654475).

Almost surely, 2^{3222258791400} is an apocalyptic number.

3222258791400 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 3222258791400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6055997659200).

3222258791400 is an abundant number, since it is smaller than the sum of its proper divisors (8889736527000).

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

3222258791400 is a wasteful number, since it uses less digits than its factorization.

3222258791400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18466 (or 18451 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 3222258791400 in words is "three trillion, two hundred twenty-two billion, two hundred fifty-eight million, seven hundred ninety-one thousand, four hundred".