345184243440 has 240 divisors, whose sum is σ = 1144846466208. Its totient is φ = 86008283136.

The previous prime is 345184243403. The next prime is 345184243471. The reversal of 345184243440 is 44342481543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 345184243392 and 345184243401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6297432 + ... + 6352008.

Almost surely, 2^345184243440 is an apocalyptic number.

345184243440 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 345184243440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572423233104).

345184243440 is an abundant number, since it is smaller than the sum of its proper divisors (799662222768).

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

345184243440 is a wasteful number, since it uses less digits than its factorization.

345184243440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54704 (or 54679 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 42.

The spelling of 345184243440 in words is "three hundred forty-five billion, one hundred eighty-four million, two hundred forty-three thousand, four hundred forty".