348111648 has 192 divisors, whose sum is σ = 1077027840. Its totient is φ = 109209600.

The previous prime is 348111641. The next prime is 348111653. The reversal of 348111648 is 846111843.

It is a happy number.

348111648 is a `hidden beast` number, since 3 + 4 + 8 + 1 + 1 + 1 + 648 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (348111641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1097986 + ... + 1098302.

It is an arithmetic number, because the mean of its divisors is an integer number (5609520).

Almost surely, 2^348111648 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 348111648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538513920).

348111648 is an abundant number, since it is smaller than the sum of its proper divisors (728916192).

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

348111648 is a wasteful number, since it uses less digits than its factorization.

348111648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 394 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 348111648 is about 18657.7503467058. The cubic root of 348111648 is about 703.4601793237.

It can be divided in two parts, 3481 and 11648, that added together give a square (15129 = 123²).

The spelling of 348111648 in words is "three hundred forty-eight million, one hundred eleven thousand, six hundred forty-eight".