345685104 has 160 divisors (see below), whose sum is σ = 1053057600. Its totient is φ = 108380160.

The previous prime is 345685099. The next prime is 345685163. The reversal of 345685104 is 401586543.

It is a happy number.

It is a super-2 number, since 2×345685104² = 238996382254981632, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 513312 + ... + 513984.

It is an arithmetic number, because the mean of its divisors is an integer number (6581610).

Almost surely, 2^345685104 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 345685104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526528800).

345685104 is an abundant number, since it is smaller than the sum of its proper divisors (707372496).

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

345685104 is a wasteful number, since it uses less digits than its factorization.

345685104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 345685104 is about 18592.6088540581. The cubic root of 345685104 is about 701.8218555929.

The spelling of 345685104 in words is "three hundred forty-five million, six hundred eighty-five thousand, one hundred four".