345741760 has 224 divisors, whose sum is σ = 1048707072. Its totient is φ = 105615360.

The previous prime is 345741757. The next prime is 345741761. The reversal of 345741760 is 67147543.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345741761) 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 31 ways as a sum of consecutive naturals, for example, 902529 + ... + 902911.

It is an arithmetic number, because the mean of its divisors is an integer number (4681728).

Almost surely, 2^345741760 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 345741760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524353536).

345741760 is an abundant number, since it is smaller than the sum of its proper divisors (702965312).

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

345741760 is a wasteful number, since it uses less digits than its factorization.

345741760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The square root of 345741760 is about 18594.1324078323. The cubic root of 345741760 is about 701.8601951554.

The spelling of 345741760 in words is "three hundred forty-five million, seven hundred forty-one thousand, seven hundred sixty".