345513168 has 640 divisors, whose sum is σ = 1439907840. Its totient is φ = 76308480.

The previous prime is 345513167. The next prime is 345513169. The reversal of 345513168 is 861315543.

It is an interprime number because it is at equal distance from previous prime (345513167) and next prime (345513169).

It is a super-2 number, since 2×345513168² = 238758698522792448, which contains 22 as substring.

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

Its product of digits (43200) is a multiple of the sum of its prime divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345513167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7351321 + ... + 7351367.

It is an arithmetic number, because the mean of its divisors is an integer number (2249856).

Almost surely, 2^345513168 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 345513168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719953920).

345513168 is an abundant number, since it is smaller than the sum of its proper divisors (1094394672).

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

345513168 is a wasteful number, since it uses less digits than its factorization.

345513168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 100 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 345513168 is about 18587.9845061265. The cubic root of 345513168 is about 701.7054794916.

The spelling of 345513168 in words is "three hundred forty-five million, five hundred thirteen thousand, one hundred sixty-eight".