348552000 has 336 divisors, whose sum is σ = 1285719552. Its totient is φ = 90086400.

The previous prime is 348551989. The next prime is 348552019. The reversal of 348552000 is 255843.

348552000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3383949 + ... + 3384051.

Almost surely, 2^348552000 is an apocalyptic number.

348552000 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 348552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642859776).

348552000 is an abundant number, since it is smaller than the sum of its proper divisors (937167552).

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

348552000 is a wasteful number, since it uses less digits than its factorization.

348552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 348552000 is about 18669.5473967635. The cubic root of 348552000 is about 703.7566738281.

The spelling of 348552000 in words is "three hundred forty-eight million, five hundred fifty-two thousand".