322279638408 has 896 divisors, whose sum is σ = 1212799795200. Its totient is φ = 77850201600.

The previous prime is 322279638407. The next prime is 322279638431. The reversal of 322279638408 is 804836972223.

322279638408 is a `hidden beast` number, since 3 + 2 + 227 + 9 + 6 + 3 + 8 + 408 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (322279638407) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 312588853 + ... + 312589883.

It is an arithmetic number, because the mean of its divisors is an integer number (1353571200).

Almost surely, 2^322279638408 is an apocalyptic number.

322279638408 is a gapful number since it is divisible by the number (38) 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 322279638408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606399897600).

322279638408 is an abundant number, since it is smaller than the sum of its proper divisors (890520156792).

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

322279638408 is a wasteful number, since it uses less digits than its factorization.

322279638408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 322279638408 in words is "three hundred twenty-two billion, two hundred seventy-nine million, six hundred thirty-eight thousand, four hundred eight".