345285504 has 192 divisors, whose sum is σ = 1092677040. Its totient is φ = 108158976.

The previous prime is 345285467. The next prime is 345285511. The reversal of 345285504 is 405582543.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 528442 + ... + 529094.

Almost surely, 2^345285504 is an apocalyptic number.

345285504 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 345285504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546338520).

345285504 is an abundant number, since it is smaller than the sum of its proper divisors (747391536).

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

345285504 is an equidigital number, since it uses as much as digits as its factorization.

345285504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 345285504 is about 18581.8595409609. The cubic root of 345285504 is about 701.5513240770.

The spelling of 345285504 in words is "three hundred forty-five million, two hundred eighty-five thousand, five hundred four".