345509538 has 64 divisors (see below), whose sum is σ = 788296320. Its totient is φ = 99993600.

The previous prime is 345509533. The next prime is 345509543. The reversal of 345509538 is 835905543.

It is an interprime number because it is at equal distance from previous prime (345509533) and next prime (345509543).

It is a self number, because there is not a number n which added to its sum of digits gives 345509538.

It is not an unprimeable number, because it can be changed into a prime (345509531) 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 31 ways as a sum of consecutive naturals, for example, 184728 + ... + 186588.

It is an arithmetic number, because the mean of its divisors is an integer number (12317130).

Almost surely, 2^345509538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345509538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394148160).

345509538 is an abundant number, since it is smaller than the sum of its proper divisors (442786782).

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

345509538 is a wasteful number, since it uses less digits than its factorization.

345509538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2003.

The product of its (nonzero) digits is 324000, while the sum is 42.

The square root of 345509538 is about 18587.8868621476. The cubic root of 345509538 is about 701.7030220843.

The spelling of 345509538 in words is "three hundred forty-five million, five hundred nine thousand, five hundred thirty-eight".