345938208 has 192 divisors, whose sum is σ = 1154829312. Its totient is φ = 88058880.

The previous prime is 345938179. The next prime is 345938227. The reversal of 345938208 is 802839543.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 345938208.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 391335 + ... + 392217.

It is an arithmetic number, because the mean of its divisors is an integer number (6014736).

Almost surely, 2^345938208 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 345938208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577414656).

345938208 is an abundant number, since it is smaller than the sum of its proper divisors (808891104).

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

345938208 is a wasteful number, since it uses less digits than its factorization.

345938208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 345938208 is about 18599.4141843231. The cubic root of 345938208 is about 701.9931006375.

The spelling of 345938208 in words is "three hundred forty-five million, nine hundred thirty-eight thousand, two hundred eight".