344696214720 has 448 divisors, whose sum is σ = 1315664469504. Its totient is φ = 75339694080.

The previous prime is 344696214649. The next prime is 344696214761. The reversal of 344696214720 is 27412696443.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 344696214720.

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, 5873844 + ... + 5932236.

It is an arithmetic number, because the mean of its divisors is an integer number (2936751048).

Almost surely, 2^344696214720 is an apocalyptic number.

344696214720 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 344696214720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657832234752).

344696214720 is an abundant number, since it is smaller than the sum of its proper divisors (970968254784).

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

344696214720 is a wasteful number, since it uses less digits than its factorization.

344696214720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58480 (or 58470 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 344696214720 in words is "three hundred forty-four billion, six hundred ninety-six million, two hundred fourteen thousand, seven hundred twenty".