345166528 has 56 divisors (see below), whose sum is σ = 797612832. Its totient is φ = 145127424.

The previous prime is 345166511. The next prime is 345166531. The reversal of 345166528 is 825661543.

It is a tau number, because it is divible by the number of its divisors (56).

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 7 ways as a sum of consecutive naturals, for example, 16476 + ... + 31012.

Almost surely, 2^345166528 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 345166528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398806416).

345166528 is an abundant number, since it is smaller than the sum of its proper divisors (452446304).

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

345166528 is a wasteful number, since it uses less digits than its factorization.

345166528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14609 (or 14599 counting only the distinct ones).

The product of its digits is 172800, while the sum is 40.

The square root of 345166528 is about 18578.6578632580. The cubic root of 345166528 is about 701.4707363140.

The spelling of 345166528 in words is "three hundred forty-five million, one hundred sixty-six thousand, five hundred twenty-eight".