345852750810 has 128 divisors (see below), whose sum is σ = 953753149440. Its totient is φ = 78625460736.

The previous prime is 345852750797. The next prime is 345852750833. The reversal of 345852750810 is 18057258543.

It is a super-2 number, since 2×345852750810² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 345852750810.

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 63 ways as a sum of consecutive naturals, for example, 50834869 + ... + 50841671.

It is an arithmetic number, because the mean of its divisors is an integer number (7451196480).

Almost surely, 2^345852750810 is an apocalyptic number.

345852750810 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 345852750810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476876574720).

345852750810 is an abundant number, since it is smaller than the sum of its proper divisors (607900398630).

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

345852750810 is a wasteful number, since it uses less digits than its factorization.

345852750810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8092.

The product of its (nonzero) digits is 1344000, while the sum is 48.

The spelling of 345852750810 in words is "three hundred forty-five billion, eight hundred fifty-two million, seven hundred fifty thousand, eight hundred ten".