345668832 has 72 divisors (see below), whose sum is σ = 1003949856. Its totient is φ = 112766976.

The previous prime is 345668831. The next prime is 345668833. The reversal of 345668832 is 238866543.

It is a happy number.

345668832 is a `hidden beast` number, since 3 + 4 + 566 + 8 + 83 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (345668831) and next prime (345668833).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345668831) 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, 768 + ... + 26304.

It is an arithmetic number, because the mean of its divisors is an integer number (13943748).

Almost surely, 2^345668832 is an apocalyptic number.

345668832 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 345668832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501974928).

345668832 is an abundant number, since it is smaller than the sum of its proper divisors (658281024).

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

345668832 is a wasteful number, since it uses less digits than its factorization.

345668832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25600 (or 25589 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 345668832 is about 18592.1712556656. The cubic root of 345668832 is about 701.8108434277.

The spelling of 345668832 in words is "three hundred forty-five million, six hundred sixty-eight thousand, eight hundred thirty-two".