345133488 has 80 divisors (see below), whose sum is σ = 1032997376. Its totient is φ = 97251840.

The previous prime is 345133483. The next prime is 345133489. The reversal of 345133488 is 884331543.

It is a super-3 number, since 3×345133488³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (345133483) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 17493 + ... + 31563.

Almost surely, 2^345133488 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 345133488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516498688).

345133488 is an abundant number, since it is smaller than the sum of its proper divisors (687863888).

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

345133488 is a wasteful number, since it uses less digits than its factorization.

345133488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14162 (or 14156 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 345133488 is about 18577.7686496522. The cubic root of 345133488 is about 701.4483535598.

The spelling of 345133488 in words is "three hundred forty-five million, one hundred thirty-three thousand, four hundred eighty-eight".