348444096 has 448 divisors, whose sum is σ = 1297228800. Its totient is φ = 81285120.

The previous prime is 348444091. The next prime is 348444137. The reversal of 348444096 is 690444843.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348444091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9417390 + ... + 9417426.

It is an arithmetic number, because the mean of its divisors is an integer number (2895600).

Almost surely, 2^348444096 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 348444096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648614400).

348444096 is an abundant number, since it is smaller than the sum of its proper divisors (948784704).

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

348444096 is a wasteful number, since it uses less digits than its factorization.

348444096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 348444096 is about 18666.6573333310. The cubic root of 348444096 is about 703.6840438257.

It can be divided in two parts, 348 and 444096, that added together give a palindrome (444444).

The spelling of 348444096 in words is "three hundred forty-eight million, four hundred forty-four thousand, ninety-six".