345372720 has 240 divisors, whose sum is σ = 1345747200. Its totient is φ = 71723520.

The previous prime is 345372707. The next prime is 345372721. The reversal of 345372720 is 27273543.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (345372721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202431 + ... + 204129.

It is an arithmetic number, because the mean of its divisors is an integer number (5607280).

Almost surely, 2^345372720 is an apocalyptic number.

345372720 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 345372720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672873600).

345372720 is an abundant number, since it is smaller than the sum of its proper divisors (1000374480).

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

345372720 is a wasteful number, since it uses less digits than its factorization.

345372720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 33.

The square root of 345372720 is about 18584.2061977368. The cubic root of 345372720 is about 701.6103876138.

The spelling of 345372720 in words is "three hundred forty-five million, three hundred seventy-two thousand, seven hundred twenty".