348346752 has 128 divisors (see below), whose sum is σ = 1029073920. Its totient is φ = 103680000.

The previous prime is 348346723. The next prime is 348346759. The reversal of 348346752 is 257643843.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348346759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153627 + ... + 155877.

It is an arithmetic number, because the mean of its divisors is an integer number (8039640).

Almost surely, 2^348346752 is an apocalyptic number.

348346752 is a gapful number since it is divisible by the number (32) 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 348346752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514536960).

348346752 is an abundant number, since it is smaller than the sum of its proper divisors (680727168).

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

348346752 is a wasteful number, since it uses less digits than its factorization.

348346752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312 (or 2300 counting only the distinct ones).

The product of its digits is 483840, while the sum is 42.

The square root of 348346752 is about 18664.0497213225. The cubic root of 348346752 is about 703.6185088755.

The spelling of 348346752 in words is "three hundred forty-eight million, three hundred forty-six thousand, seven hundred fifty-two".