345709248 has 84 divisors (see below), whose sum is σ = 933727368. Its totient is φ = 112885760.

The previous prime is 345709223. The next prime is 345709249. The reversal of 345709248 is 842907543.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (345709249) 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, 539008 + ... + 539648.

It is an arithmetic number, because the mean of its divisors is an integer number (11115802).

Almost surely, 2^345709248 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 345709248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466863684).

345709248 is an abundant number, since it is smaller than the sum of its proper divisors (588018120).

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

345709248 is an equidigital number, since it uses as much as digits as its factorization.

345709248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 345709248 is about 18593.2581329900. The cubic root of 345709248 is about 701.8381945405.

The spelling of 345709248 in words is "three hundred forty-five million, seven hundred nine thousand, two hundred forty-eight".