348429312 has 264 divisors, whose sum is σ = 1256890752. Its totient is φ = 90316800.

The previous prime is 348429311. The next prime is 348429313. The reversal of 348429312 is 213924843.

It is an interprime number because it is at equal distance from previous prime (348429311) and next prime (348429313).

It is a tau number, because it is divible by the number of its divisors (264).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348429311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 709387 + ... + 709877.

Almost surely, 2^348429312 is an apocalyptic number.

348429312 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 348429312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628445376).

348429312 is an abundant number, since it is smaller than the sum of its proper divisors (908461440).

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

348429312 is a wasteful number, since it uses less digits than its factorization.

348429312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 514 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 348429312 is about 18666.2613289325. The cubic root of 348429312 is about 703.6740915721.

The spelling of 348429312 in words is "three hundred forty-eight million, four hundred twenty-nine thousand, three hundred twelve".