345106608 has 120 divisors (see below), whose sum is σ = 1131445440. Its totient is φ = 89631360.

The previous prime is 345106607. The next prime is 345106609. The reversal of 345106608 is 806601543.

It is an interprime number because it is at equal distance from previous prime (345106607) and next prime (345106609).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (345106603) 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, 19203 + ... + 32541.

It is an arithmetic number, because the mean of its divisors is an integer number (9428712).

Almost surely, 2^345106608 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 345106608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565722720).

345106608 is an abundant number, since it is smaller than the sum of its proper divisors (786338832).

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

345106608 is a wasteful number, since it uses less digits than its factorization.

345106608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13375 (or 13362 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 345106608 is about 18577.0451902341. The cubic root of 345106608 is about 701.4301428076.

It can be divided in two parts, 345 and 106608, that added together give a triangular number (106953 = T₄₆₂).

The spelling of 345106608 in words is "three hundred forty-five million, one hundred six thousand, six hundred eight".