344221302021000 has 256 divisors, whose sum is σ = 1103045583144960. Its totient is φ = 89307514137600.

The previous prime is 344221302020993. The next prime is 344221302021031. The reversal of 344221302021000 is 120203122443.

It is a happy number.

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, 3157562494 + ... + 3157671506.

It is an arithmetic number, because the mean of its divisors is an integer number (4308771809160).

Almost surely, 2^{344221302021000} is an apocalyptic number.

344221302021000 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 344221302021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551522791572480).

344221302021000 is an abundant number, since it is smaller than the sum of its proper divisors (758824281123960).

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

344221302021000 is a wasteful number, since it uses less digits than its factorization.

344221302021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137521 (or 137507 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 344221302021000 its reverse (120203122443), we get a palindrome (344341505143443).

The spelling of 344221302021000 in words is "three hundred forty-four trillion, two hundred twenty-one billion, three hundred two million, twenty-one thousand".