345520032 has 96 divisors (see below), whose sum is σ = 1065597120. Its totient is φ = 96645120.

The previous prime is 345520027. The next prime is 345520069. The reversal of 345520032 is 230025543.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 345519984 and 345520011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1144 + ... + 26312.

It is an arithmetic number, because the mean of its divisors is an integer number (11099970).

Almost surely, 2^345520032 is an apocalyptic number.

345520032 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 345520032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532798560).

345520032 is an abundant number, since it is smaller than the sum of its proper divisors (720077088).

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

345520032 is a wasteful number, since it uses less digits than its factorization.

345520032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25206 (or 25198 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 345520032 is about 18588.1691406120. The cubic root of 345520032 is about 701.7101261785.

Adding to 345520032 its reverse (230025543), we get a palindrome (575545575).

The spelling of 345520032 in words is "three hundred forty-five million, five hundred twenty thousand, thirty-two".