348834816 has 352 divisors, whose sum is σ = 1194792960. Its totient is φ = 99532800.

The previous prime is 348834809. The next prime is 348834821. The reversal of 348834816 is 618438843.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (442368) is a multiple of the sum of its prime factors (108).

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, 9427950 + ... + 9427986.

Almost surely, 2^348834816 is an apocalyptic number.

348834816 is a gapful number since it is divisible by the number (36) 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 348834816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597396480).

348834816 is an abundant number, since it is smaller than the sum of its proper divisors (845958144).

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

348834816 is a wasteful number, since it uses less digits than its factorization.

348834816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 84 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 348834816 is about 18677.1201206182. The cubic root of 348834816 is about 703.9469657018.

The spelling of 348834816 in words is "three hundred forty-eight million, eight hundred thirty-four thousand, eight hundred sixteen".