345123110310030 has 384 divisors, whose sum is σ = 1029438511395840. Its totient is φ = 82650368701440.

The previous prime is 345123110310023. The next prime is 345123110310073. The reversal of 345123110310030 is 30013011321543.

345123110310030 is a `hidden beast` number, since 3 + 4 + 5 + 1 + 2 + 311 + 0 + 310 + 0 + 30 = 666.

It is a super-2 number, since 2×345123110310030² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 345123110309976 and 345123110310003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 464602089 + ... + 465344331.

It is an arithmetic number, because the mean of its divisors is an integer number (2680829456760).

Almost surely, 2^{345123110310030} is an apocalyptic number.

345123110310030 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 345123110310030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514719255697920).

345123110310030 is an abundant number, since it is smaller than the sum of its proper divisors (684315401085810).

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

345123110310030 is a wasteful number, since it uses less digits than its factorization.

345123110310030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742678 (or 742666 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 345123110310030 its reverse (30013011321543), we get a palindrome (375136121631573).

The spelling of 345123110310030 in words is "three hundred forty-five trillion, one hundred twenty-three billion, one hundred ten million, three hundred ten thousand, thirty".