348984000 has 336 divisors, whose sum is σ = 1291900896. Its totient is φ = 89856000.

The previous prime is 348983983. The next prime is 348984011. The reversal of 348984000 is 489843.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2663935 + ... + 2664065.

Almost surely, 2^348984000 is an apocalyptic number.

348984000 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 348984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645950448).

348984000 is an abundant number, since it is smaller than the sum of its proper divisors (942916896).

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

348984000 is a wasteful number, since it uses less digits than its factorization.

348984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 348984000 is about 18681.1134571792. The cubic root of 348984000 is about 704.0473022624.

The spelling of 348984000 in words is "three hundred forty-eight million, nine hundred eighty-four thousand".