345558150 has 288 divisors, whose sum is σ = 1169925120. Its totient is φ = 74027520.

The previous prime is 345558131. The next prime is 345558193. The reversal of 345558150 is 51855543.

It is a happy number.

345558150 is a `hidden beast` number, since 3 + 455 + 58 + 150 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1445731 + ... + 1445969.

It is an arithmetic number, because the mean of its divisors is an integer number (4062240).

Almost surely, 2^345558150 is an apocalyptic number.

345558150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 345558150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584962560).

345558150 is an abundant number, since it is smaller than the sum of its proper divisors (824366970).

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

345558150 is a wasteful number, since it uses less digits than its factorization.

345558150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The square root of 345558150 is about 18589.1944419332. The cubic root of 345558150 is about 701.7359296058.

The spelling of 345558150 in words is "three hundred forty-five million, five hundred fifty-eight thousand, one hundred fifty".