34222442001000 has 256 divisors, whose sum is σ = 116826426213120. Its totient is φ = 8271728640000.

The previous prime is 34222442000983. The next prime is 34222442001017. The reversal of 34222442001000 is 10024422243.

It is an interprime number because it is at equal distance from previous prime (34222442000983) and next prime (34222442001017).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9582360 + ... + 12659640.

It is an arithmetic number, because the mean of its divisors is an integer number (456353227395).

Almost surely, 2^{34222442001000} is an apocalyptic number.

34222442001000 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 34222442001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58413213106560).

34222442001000 is an abundant number, since it is smaller than the sum of its proper divisors (82603984212120).

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

34222442001000 is a wasteful number, since it uses less digits than its factorization.

34222442001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3077653 (or 3077639 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 34222442001000 its reverse (10024422243), we get a palindrome (34232466423243).

The spelling of 34222442001000 in words is "thirty-four trillion, two hundred twenty-two billion, four hundred forty-two million, one thousand".