345917952 has 200 divisors, whose sum is σ = 1089290400. Its totient is φ = 108988416.

The previous prime is 345917951. The next prime is 345917959. The reversal of 345917952 is 259719543.

It is a happy number.

345917952 is a `hidden beast` number, since 3 + 4 + 591 + 7 + 9 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 345917898 and 345917907.

It is not an unprimeable number, because it can be changed into a prime (345917951) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 787749 + ... + 788187.

It is an arithmetic number, because the mean of its divisors is an integer number (5446452).

Almost surely, 2^345917952 is an apocalyptic number.

345917952 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 345917952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544645200).

345917952 is an abundant number, since it is smaller than the sum of its proper divisors (743372448).

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

345917952 is an equidigital number, since it uses as much as digits as its factorization.

345917952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 463 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 345917952 is about 18598.8696430724. The cubic root of 345917952 is about 701.9793989133.

The spelling of 345917952 in words is "three hundred forty-five million, nine hundred seventeen thousand, nine hundred fifty-two".