345123533304 has 192 divisors, whose sum is σ = 1095781789440. Its totient is φ = 96961582080.

The previous prime is 345123533189. The next prime is 345123533309. The reversal of 345123533304 is 403335321543.

345123533304 is a `hidden beast` number, since 345 + 1 + 2 + 3 + 5 + 3 + 3 + 304 = 666.

It is a super-2 number, since 2×345123533304² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345123533309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 710797 + ... + 1093379.

It is an arithmetic number, because the mean of its divisors is an integer number (5707196820).

Almost surely, 2^345123533304 is an apocalyptic number.

345123533304 is a gapful number since it is divisible by the number (34) 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 345123533304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547890894720).

345123533304 is an abundant number, since it is smaller than the sum of its proper divisors (750658256136).

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

345123533304 is a wasteful number, since it uses less digits than its factorization.

345123533304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382690 (or 382683 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 36.

Adding to 345123533304 its reverse (403335321543), we get a palindrome (748458854847).

The spelling of 345123533304 in words is "three hundred forty-five billion, one hundred twenty-three million, five hundred thirty-three thousand, three hundred four".