349608000 has 224 divisors, whose sum is σ = 1319954688. Its totient is φ = 79872000.

The previous prime is 349607989. The next prime is 349608011. The reversal of 349608000 is 806943.

It is an interprime number because it is at equal distance from previous prime (349607989) and next prime (349608011).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 166960 + ... + 169040.

Almost surely, 2^349608000 is an apocalyptic number.

349608000 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 349608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659977344).

349608000 is an abundant number, since it is smaller than the sum of its proper divisors (970346688).

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

349608000 is a wasteful number, since it uses less digits than its factorization.

349608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 349608000 is about 18697.8073580835. The cubic root of 349608000 is about 704.4666757690.

The spelling of 349608000 in words is "three hundred forty-nine million, six hundred eight thousand".