348038208 has 336 divisors, whose sum is σ = 1242608640. Its totient is φ = 94431744.

The previous prime is 348038191. The next prime is 348038221. The reversal of 348038208 is 802830843.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×348038208² = 242261188455702528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2503803 + ... + 2503941.

It is an arithmetic number, because the mean of its divisors is an integer number (3698240).

Almost surely, 2^348038208 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 348038208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621304320).

348038208 is an abundant number, since it is smaller than the sum of its proper divisors (894570432).

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

348038208 is a wasteful number, since it uses less digits than its factorization.

348038208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 348038208 is about 18655.7821599632. The cubic root of 348038208 is about 703.4107069305.

The spelling of 348038208 in words is "three hundred forty-eight million, thirty-eight thousand, two hundred eight".