345305088 has 312 divisors, whose sum is σ = 1150016400. Its totient is φ = 99090432.

The previous prime is 345305083. The next prime is 345305089. The reversal of 345305088 is 880503543.

345305088 is a `hidden beast` number, since 345 + 305 + 0 + 8 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345305083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11907058 + ... + 11907086.

It is an arithmetic number, because the mean of its divisors is an integer number (3685950).

Almost surely, 2^345305088 is an apocalyptic number.

345305088 is a gapful number since it is divisible by the number (38) 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 345305088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575008200).

345305088 is an abundant number, since it is smaller than the sum of its proper divisors (804711312).

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

345305088 is a wasteful number, since it uses less digits than its factorization.

345305088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 345305088 is about 18582.3864990480. The cubic root of 345305088 is about 701.5645874211.

The spelling of 345305088 in words is "three hundred forty-five million, three hundred five thousand, eighty-eight".