345378528 has 288 divisors, whose sum is σ = 1165443552. Its totient is φ = 96645120.

The previous prime is 345378479. The next prime is 345378529. The reversal of 345378528 is 825873543.

345378528 is a `hidden beast` number, since 3 + 4 + 53 + 78 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345378529) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6516550 + ... + 6516602.

It is an arithmetic number, because the mean of its divisors is an integer number (4046679).

Almost surely, 2^345378528 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 345378528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582721776).

345378528 is an abundant number, since it is smaller than the sum of its proper divisors (820065024).

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

345378528 is a wasteful number, since it uses less digits than its factorization.

345378528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 86 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 345378528 is about 18584.3624587985. The cubic root of 345378528 is about 701.6143204957.

It can be divided in two parts, 345 and 378528, that added together give a palindrome (378873).

The spelling of 345378528 in words is "three hundred forty-five million, three hundred seventy-eight thousand, five hundred twenty-eight".