345311447040 has 576 divisors, whose sum is σ = 1384450704000. Its totient is φ = 77965295616.

The previous prime is 345311447027. The next prime is 345311447083. The reversal of 345311447040 is 40744113543.

345311447040 is a `hidden beast` number, since 3 + 4 + 531 + 14 + 4 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 345311446986 and 345311447004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53541736 + ... + 53548184.

It is an arithmetic number, because the mean of its divisors is an integer number (2403560250).

Almost surely, 2^345311447040 is an apocalyptic number.

345311447040 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 345311447040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692225352000).

345311447040 is an abundant number, since it is smaller than the sum of its proper divisors (1039139256960).

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

345311447040 is a wasteful number, since it uses less digits than its factorization.

345311447040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6572 (or 6549 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 345311447040 in words is "three hundred forty-five billion, three hundred eleven million, four hundred forty-seven thousand, forty".