345075616 has 36 divisors (see below), whose sum is σ = 698313798. Its totient is φ = 167853312.

The previous prime is 345075593. The next prime is 345075617. The reversal of 345075616 is 616570543.

It can be written as a sum of positive squares in 3 ways, for example, as 339296400 + 5779216 = 18420^2 + 2404^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (345075617) 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 5 ways as a sum of consecutive naturals, for example, 39870 + ... + 47746.

Almost surely, 2^345075616 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 345075616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349156899).

345075616 is an abundant number, since it is smaller than the sum of its proper divisors (353238182).

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

345075616 is an equidigital number, since it uses as much as digits as its factorization.

345075616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7961 (or 7916 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The square root of 345075616 is about 18576.2110237798. The cubic root of 345075616 is about 701.4091450702.

The spelling of 345075616 in words is "three hundred forty-five million, seventy-five thousand, six hundred sixteen".