348900800 has 168 divisors, whose sum is σ = 944880000. Its totient is φ = 126213120.

The previous prime is 348900791. The next prime is 348900817. The reversal of 348900800 is 8009843.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 698951 + ... + 699449.

Almost surely, 2^348900800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472440000).

348900800 is an abundant number, since it is smaller than the sum of its proper divisors (595979200).

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

348900800 is a wasteful number, since it uses less digits than its factorization.

348900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 348900800 is about 18678.8864764471. The cubic root of 348900800 is about 703.9913480342.

The spelling of 348900800 in words is "three hundred forty-eight million, nine hundred thousand, eight hundred".