345743222580 has 768 divisors, whose sum is σ = 1321618636800. Its totient is φ = 73369981440.

The previous prime is 345743222467. The next prime is 345743222603. The reversal of 345743222580 is 85222347543.

345743222580 is a `hidden beast` number, since 3 + 4 + 5 + 7 + 43 + 2 + 22 + 580 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 255 ways as a sum of consecutive naturals, for example, 297285079 + ... + 297286241.

It is an arithmetic number, because the mean of its divisors is an integer number (1720857600).

Almost surely, 2^345743222580 is an apocalyptic number.

345743222580 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 345743222580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660809318400).

345743222580 is an abundant number, since it is smaller than the sum of its proper divisors (975875414220).

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

345743222580 is a wasteful number, since it uses less digits than its factorization.

345743222580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 345743222580 in words is "three hundred forty-five billion, seven hundred forty-three million, two hundred twenty-two thousand, five hundred eighty".