348529920 has 288 divisors, whose sum is σ = 1245041280. Its totient is φ = 82575360.

The previous prime is 348529871. The next prime is 348529981. The reversal of 348529920 is 29925843.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1240180 + ... + 1240460.

It is an arithmetic number, because the mean of its divisors is an integer number (4323060).

Almost surely, 2^348529920 is an apocalyptic number.

348529920 is a gapful number since it is divisible by the number (30) 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 348529920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622520640).

348529920 is an abundant number, since it is smaller than the sum of its proper divisors (896511360).

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

348529920 is a wasteful number, since it uses less digits than its factorization.

348529920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 348529920 is about 18668.9560500849. The cubic root of 348529920 is about 703.7418130369.

The spelling of 348529920 in words is "three hundred forty-eight million, five hundred twenty-nine thousand, nine hundred twenty".