344053670400 has 720 divisors, whose sum is σ = 1422308261088. Its totient is φ = 78495744000.

The previous prime is 344053670399. The next prime is 344053670419. The reversal of 344053670400 is 4076350443.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21534415 + ... + 21550385.

Almost surely, 2^344053670400 is an apocalyptic number.

344053670400 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 344053670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711154130544).

344053670400 is an abundant number, since it is smaller than the sum of its proper divisors (1078254590688).

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

344053670400 is a wasteful number, since it uses less digits than its factorization.

344053670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16033 (or 16009 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 344053670400 in words is "three hundred forty-four billion, fifty-three million, six hundred seventy thousand, four hundred".