345067968 has 112 divisors (see below), whose sum is σ = 1098417920. Its totient is φ = 93394944.

The previous prime is 345067909. The next prime is 345067997. The reversal of 345067968 is 869760543.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18780 + ... + 32292.

Almost surely, 2^345067968 is an apocalyptic number.

345067968 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 345067968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549208960).

345067968 is an abundant number, since it is smaller than the sum of its proper divisors (753349952).

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

345067968 is a wasteful number, since it uses less digits than its factorization.

345067968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13554 (or 13544 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 345067968 is about 18576.0051679579. The cubic root of 345067968 is about 701.4039631946.

The spelling of 345067968 in words is "three hundred forty-five million, sixty-seven thousand, nine hundred sixty-eight".