345387504 has 320 divisors, whose sum is σ = 1234206720. Its totient is φ = 80424960.

The previous prime is 345387503. The next prime is 345387569. The reversal of 345387504 is 405783543.

345387504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345387503) 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 63 ways as a sum of consecutive naturals, for example, 1445017 + ... + 1445255.

It is an arithmetic number, because the mean of its divisors is an integer number (3856896).

Almost surely, 2^345387504 is an apocalyptic number.

345387504 is a gapful number since it is divisible by the number (34) 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 345387504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617103360).

345387504 is an abundant number, since it is smaller than the sum of its proper divisors (888819216).

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

345387504 is a wasteful number, since it uses less digits than its factorization.

345387504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The square root of 345387504 is about 18584.6039505823. The cubic root of 345387504 is about 701.6203984991.

The spelling of 345387504 in words is "three hundred forty-five million, three hundred eighty-seven thousand, five hundred four".