348876000 has 288 divisors, whose sum is σ = 1352254176. Its totient is φ = 84480000.

The previous prime is 348875981. The next prime is 348876001. The reversal of 348876000 is 678843.

348876000 is a `hidden beast` number, since 3 + 48 + 8 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348876001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 395560 + ... + 396440.

It is an arithmetic number, because the mean of its divisors is an integer number (4695327).

Almost surely, 2^348876000 is an apocalyptic number.

348876000 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 348876000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676127088).

348876000 is an abundant number, since it is smaller than the sum of its proper divisors (1003378176).

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

348876000 is a wasteful number, since it uses less digits than its factorization.

348876000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 348876000 is about 18678.2226135144. Note that the first 3 decimals coincide. The cubic root of 348876000 is about 703.9746676491.

The spelling of 348876000 in words is "three hundred forty-eight million, eight hundred seventy-six thousand".