345528000 has 168 divisors, whose sum is σ = 1236268800. Its totient is φ = 92121600.

The previous prime is 345527989. The next prime is 345528037. The reversal of 345528000 is 825543.

345528000 is a `hidden beast` number, since 34 + 552 + 80 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69601 + ... + 74399.

Almost surely, 2^345528000 is an apocalyptic number.

345528000 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 345528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618134400).

345528000 is an abundant number, since it is smaller than the sum of its proper divisors (890740800).

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

345528000 is a wasteful number, since it uses less digits than its factorization.

345528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4832 (or 4809 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 345528000 is about 18588.3834692530. The cubic root of 345528000 is about 701.7155201574.

The spelling of 345528000 in words is "three hundred forty-five million, five hundred twenty-eight thousand".