345310020 has 192 divisors, whose sum is σ = 1192423680. Its totient is φ = 82252800.

The previous prime is 345310019. The next prime is 345310037. The reversal of 345310020 is 20013543.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 345309975 and 345310002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 361864 + ... + 362816.

It is an arithmetic number, because the mean of its divisors is an integer number (6210540).

Almost surely, 2^345310020 is an apocalyptic number.

345310020 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 345310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596211840).

345310020 is an abundant number, since it is smaller than the sum of its proper divisors (847113660).

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

345310020 is a wasteful number, since it uses less digits than its factorization.

345310020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 345310020 is about 18582.5192048872. The cubic root of 345310020 is about 701.5679275592.

Adding to 345310020 its reverse (20013543), we get a palindrome (365323563).

The spelling of 345310020 in words is "three hundred forty-five million, three hundred ten thousand, twenty".