345529632 has 96 divisors (see below), whose sum is σ = 1061956224. Its totient is φ = 96307200.

The previous prime is 345529619. The next prime is 345529633. The reversal of 345529632 is 236925543.

345529632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (345529633) 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 15 ways as a sum of consecutive naturals, for example, 21282 + ... + 33822.

It is an arithmetic number, because the mean of its divisors is an integer number (11062044).

Almost surely, 2^345529632 is an apocalyptic number.

345529632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345529632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530978112).

345529632 is an abundant number, since it is smaller than the sum of its proper divisors (716426592).

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

345529632 is a wasteful number, since it uses less digits than its factorization.

345529632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12602 (or 12594 counting only the distinct ones).

The product of its digits is 194400, while the sum is 39.

The square root of 345529632 is about 18588.4273675855. The cubic root of 345529632 is about 701.7166249381.

The spelling of 345529632 in words is "three hundred forty-five million, five hundred twenty-nine thousand, six hundred thirty-two".