344021222400 has 132 divisors (see below), whose sum is σ = 1137008311632. Its totient is φ = 91738972160.

The previous prime is 344021222399. The next prime is 344021222401. The reversal of 344021222400 is 4222120443.

It is an interprime number because it is at equal distance from previous prime (344021222399) and next prime (344021222401).

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

It is not an unprimeable number, because it can be changed into a prime (344021222401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2162922 + ... + 2316521.

Almost surely, 2^344021222400 is an apocalyptic number.

344021222400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344021222400 is an abundant number, since it is smaller than the sum of its proper divisors (792987089232).

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

344021222400 is a wasteful number, since it uses less digits than its factorization.

344021222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4479476 (or 4479453 counting only the distinct ones).

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

Adding to 344021222400 its reverse (4222120443), we get a palindrome (348243342843).

The spelling of 344021222400 in words is "three hundred forty-four billion, twenty-one million, two hundred twenty-two thousand, four hundred".