345531536 has 60 divisors (see below), whose sum is σ = 784696428. Its totient is φ = 146958336.

The previous prime is 345531533. The next prime is 345531551. The reversal of 345531536 is 635135543.

345531536 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 263737600 + 81793936 = 16240^2 + 9044^2 .

It is a junction number, because it is equal to n+sod(n) for n = 345531496 and 345531505.

It is not an unprimeable number, because it can be changed into a prime (345531533) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105800 + ... + 109016.

Almost surely, 2^345531536 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 345531536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392348214).

345531536 is an abundant number, since it is smaller than the sum of its proper divisors (439164892).

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

345531536 is a wasteful number, since it uses less digits than its factorization.

345531536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3376 (or 3363 counting only the distinct ones).

The product of its digits is 81000, while the sum is 35.

The square root of 345531536 is about 18588.4785821756. The cubic root of 345531536 is about 701.7179138444.

The spelling of 345531536 in words is "three hundred forty-five million, five hundred thirty-one thousand, five hundred thirty-six".