345986124 has 192 divisors, whose sum is σ = 987033600. Its totient is φ = 93139200.

The previous prime is 345986119. The next prime is 345986161. The reversal of 345986124 is 421689543.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4873009 + ... + 4873079.

It is an arithmetic number, because the mean of its divisors is an integer number (5140800).

Almost surely, 2^345986124 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 345986124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493516800).

345986124 is an abundant number, since it is smaller than the sum of its proper divisors (641047476).

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

345986124 is a wasteful number, since it uses less digits than its factorization.

345986124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 202 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 345986124 is about 18600.7022448079. The cubic root of 345986124 is about 702.0255102295.

The spelling of 345986124 in words is "three hundred forty-five million, nine hundred eighty-six thousand, one hundred twenty-four".