344465522688 has 960 divisors, whose sum is σ = 1207922688000. Its totient is φ = 85019590656.

The previous prime is 344465522663. The next prime is 344465522747. The reversal of 344465522688 is 886225564443.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 4360323033 + ... + 4360323111.

It is an arithmetic number, because the mean of its divisors is an integer number (1258252800).

Almost surely, 2^344465522688 is an apocalyptic number.

344465522688 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 344465522688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603961344000).

344465522688 is an abundant number, since it is smaller than the sum of its proper divisors (863457165312).

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

344465522688 is a wasteful number, since it uses less digits than its factorization.

344465522688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 162 counting only the distinct ones).

The product of its digits is 44236800, while the sum is 57.

The spelling of 344465522688 in words is "three hundred forty-four billion, four hundred sixty-five million, five hundred twenty-two thousand, six hundred eighty-eight".