344401429988 has 288 divisors, whose sum is σ = 841829990400. Its totient is φ = 121426905600.

The previous prime is 344401429943. The next prime is 344401429993. The reversal of 344401429988 is 889924104443.

It is a happy number.

It is a super-2 number, since 2×344401429988² (a number of 24 digits) contains 22 as substring.

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, 100319120 + ... + 100322552.

It is an arithmetic number, because the mean of its divisors is an integer number (2923020800).

Almost surely, 2^344401429988 is an apocalyptic number.

344401429988 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 344401429988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420914995200).

344401429988 is an abundant number, since it is smaller than the sum of its proper divisors (497428560412).

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

344401429988 is a wasteful number, since it uses less digits than its factorization.

344401429988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3591 (or 3582 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 56.

The spelling of 344401429988 in words is "three hundred forty-four billion, four hundred one million, four hundred twenty-nine thousand, nine hundred eighty-eight".