345240120 has 128 divisors (see below), whose sum is σ = 1106265600. Its totient is φ = 85983744.

The previous prime is 345240109. The next prime is 345240121. The reversal of 345240120 is 21042543.

It is a super-2 number, since 2×345240120² = 238381480915228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345240121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117226 + ... + 120134.

It is an arithmetic number, because the mean of its divisors is an integer number (8642700).

Almost surely, 2^345240120 is an apocalyptic number.

345240120 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 345240120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553132800).

345240120 is an abundant number, since it is smaller than the sum of its proper divisors (761025480).

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

345240120 is a wasteful number, since it uses less digits than its factorization.

345240120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2989 (or 2985 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 345240120 is about 18580.6383098106. The cubic root of 345240120 is about 701.5205856494.

Adding to 345240120 its reverse (21042543), we get a palindrome (366282663).

The spelling of 345240120 in words is "three hundred forty-five million, two hundred forty thousand, one hundred twenty".