345253120 has 144 divisors (see below), whose sum is σ = 874177920. Its totient is φ = 130457600.

The previous prime is 345253093. The next prime is 345253127. The reversal of 345253120 is 21352543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345253127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2635455 + ... + 2635585.

It is an arithmetic number, because the mean of its divisors is an integer number (6070680).

Almost surely, 2^345253120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437088960).

345253120 is an abundant number, since it is smaller than the sum of its proper divisors (528924800).

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

345253120 is a wasteful number, since it uses less digits than its factorization.

345253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 345253120 is about 18580.9881330353. The cubic root of 345253120 is about 701.5293907801.

The spelling of 345253120 in words is "three hundred forty-five million, two hundred fifty-three thousand, one hundred twenty".