348763968 has 210 divisors, whose sum is σ = 1203512706. Its totient is φ = 99574272.

The previous prime is 348763967. The next prime is 348763979. The reversal of 348763968 is 869367843.

It can be written as a sum of positive squares in only one way, i.e., 347747904 + 1016064 = 18648^2 + 1008^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348763963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 253330 + ... + 254702.

Almost surely, 2^348763968 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 348763968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601756353).

348763968 is an abundant number, since it is smaller than the sum of its proper divisors (854748738).

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

348763968 is a wasteful number, since it uses less digits than its factorization.

348763968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411 (or 1385 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 348763968 is about 18675.2233721581. The cubic root of 348763968 is about 703.8993055017.

The spelling of 348763968 in words is "three hundred forty-eight million, seven hundred sixty-three thousand, nine hundred sixty-eight".