344200969728 has 1920 divisors, whose sum is σ = 1418469212160. Its totient is φ = 80621568000.

The previous prime is 344200969699. The next prime is 344200969799. The reversal of 344200969728 is 827969002443.

344200969728 is a `hidden beast` number, since 3 + 442 + 0 + 0 + 96 + 97 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5642638818 + ... + 5642638878.

It is an arithmetic number, because the mean of its divisors is an integer number (738786048).

Almost surely, 2^344200969728 is an apocalyptic number.

344200969728 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 344200969728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709234606080).

344200969728 is an abundant number, since it is smaller than the sum of its proper divisors (1074268242432).

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

344200969728 is a wasteful number, since it uses less digits than its factorization.

344200969728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 344200969728 in words is "three hundred forty-four billion, two hundred million, nine hundred sixty-nine thousand, seven hundred twenty-eight".