345871751680 has 640 divisors, whose sum is σ = 1077051064320. Its totient is φ = 103576043520.

The previous prime is 345871751627. The next prime is 345871751707. The reversal of 345871751680 is 86157178543.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×345871751680² (a number of 24 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 339422211 + ... + 339423229.

It is an arithmetic number, because the mean of its divisors is an integer number (1682892288).

Almost surely, 2^345871751680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345871751680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538525532160).

345871751680 is an abundant number, since it is smaller than the sum of its proper divisors (731179312640).

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

345871751680 is a wasteful number, since it uses less digits than its factorization.

345871751680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 55.

The spelling of 345871751680 in words is "three hundred forty-five billion, eight hundred seventy-one million, seven hundred fifty-one thousand, six hundred eighty".