345182347350 has 144 divisors (see below), whose sum is σ = 949469444352. Its totient is φ = 89859430080.

The previous prime is 345182347339. The next prime is 345182347351. The reversal of 345182347350 is 53743281543.

345182347350 is a `hidden beast` number, since 3 + 4 + 51 + 82 + 3 + 473 + 50 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 345182347296 and 345182347305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345182347351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48429487 + ... + 48436613.

It is an arithmetic number, because the mean of its divisors is an integer number (6593537808).

Almost surely, 2^345182347350 is an apocalyptic number.

345182347350 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 345182347350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474734722176).

345182347350 is an abundant number, since it is smaller than the sum of its proper divisors (604287097002).

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

345182347350 is a wasteful number, since it uses less digits than its factorization.

345182347350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9691 (or 9683 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 345182347350 in words is "three hundred forty-five billion, one hundred eighty-two million, three hundred forty-seven thousand, three hundred fifty".