348936000 has 448 divisors, whose sum is σ = 1379549184. Its totient is φ = 76032000.

The previous prime is 348935959. The next prime is 348936017. The reversal of 348936000 is 639843.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5207967 + ... + 5208033.

Almost surely, 2^348936000 is an apocalyptic number.

348936000 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 348936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689774592).

348936000 is an abundant number, since it is smaller than the sum of its proper divisors (1030613184).

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

348936000 is a wasteful number, since it uses less digits than its factorization.

348936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 348936000 is about 18679.8286930047. The cubic root of 348936000 is about 704.0150220624.

The spelling of 348936000 in words is "three hundred forty-eight million, nine hundred thirty-six thousand".