345862756680 has 512 divisors, whose sum is σ = 1321895116800. Its totient is φ = 70531743744.

The previous prime is 345862756651. The next prime is 345862756721. The reversal of 345862756680 is 86657268543.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37109061 + ... + 37118379.

It is an arithmetic number, because the mean of its divisors is an integer number (2581826400).

Almost surely, 2^345862756680 is an apocalyptic number.

345862756680 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 345862756680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660947558400).

345862756680 is an abundant number, since it is smaller than the sum of its proper divisors (976032360120).

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

345862756680 is a wasteful number, since it uses less digits than its factorization.

345862756680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9493 (or 9489 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 60.

The spelling of 345862756680 in words is "three hundred forty-five billion, eight hundred sixty-two million, seven hundred fifty-six thousand, six hundred eighty".