345805528860 has 864 divisors, whose sum is σ = 1259171536896. Its totient is φ = 78969945600.

The previous prime is 345805528843. The next prime is 345805528879. The reversal of 345805528860 is 68825508543.

345805528860 is a `hidden beast` number, since 3 + 4 + 5 + 8 + 0 + 552 + 8 + 86 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 345805528797 and 345805528806.

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 287 ways as a sum of consecutive naturals, for example, 2722878117 + ... + 2722878243.

It is an arithmetic number, because the mean of its divisors is an integer number (1457374464).

Almost surely, 2^345805528860 is an apocalyptic number.

345805528860 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 345805528860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629585768448).

345805528860 is an abundant number, since it is smaller than the sum of its proper divisors (913366008036).

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

345805528860 is a wasteful number, since it uses less digits than its factorization.

345805528860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 345805528860 in words is "three hundred forty-five billion, eight hundred five million, five hundred twenty-eight thousand, eight hundred sixty".