344780401519872 has 180 divisors, whose sum is σ = 1028094388601280. Its totient is φ = 114924384064512.

The previous prime is 344780401519847. The next prime is 344780401519903. The reversal of 344780401519872 is 278915104087443.

344780401519872 is a `hidden beast` number, since 3 + 4 + 4 + 7 + 8 + 0 + 40 + 1 + 519 + 8 + 72 = 666.

It is a super-2 number, since 2×344780401519872² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1177305879 + ... + 1177598697.

Almost surely, 2^{344780401519872} is an apocalyptic number.

344780401519872 is a gapful number since it is divisible by the number (32) 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 344780401519872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514047194300640).

344780401519872 is an abundant number, since it is smaller than the sum of its proper divisors (683313987081408).

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

344780401519872 is an equidigital number, since it uses as much as digits as its factorization.

344780401519872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349630 (or 349607 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 344780401519872 in words is "three hundred forty-four trillion, seven hundred eighty billion, four hundred one million, five hundred nineteen thousand, eight hundred seventy-two".