345575538 has 192 divisors, whose sum is σ = 1008599040. Its totient is φ = 86637600.

The previous prime is 345575533. The next prime is 345575539. The reversal of 345575538 is 835575543.

345575538 is a `hidden beast` number, since 3 + 45 + 5 + 75 + 538 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (1260000) is a multiple of the sum of its prime factors (450).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 345575493 and 345575502.

It is not an unprimeable number, because it can be changed into a prime (345575533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 902095 + ... + 902477.

It is an arithmetic number, because the mean of its divisors is an integer number (5253120).

Almost surely, 2^345575538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345575538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504299520).

345575538 is an abundant number, since it is smaller than the sum of its proper divisors (663023502).

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

345575538 is a wasteful number, since it uses less digits than its factorization.

345575538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 437 counting only the distinct ones).

The product of its digits is 1260000, while the sum is 45.

The square root of 345575538 is about 18589.6621271071. The cubic root of 345575538 is about 701.7476995300.

The spelling of 345575538 in words is "three hundred forty-five million, five hundred seventy-five thousand, five hundred thirty-eight".