349282800 has 120 divisors (see below), whose sum is σ = 1243226480. Its totient is φ = 93139200.

The previous prime is 349282793. The next prime is 349282819. The reversal of 349282800 is 8282943.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5371 + ... + 26970.

Almost surely, 2^349282800 is an apocalyptic number.

349282800 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 349282800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621613240).

349282800 is an abundant number, since it is smaller than the sum of its proper divisors (893943680).

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

349282800 is a wasteful number, since it uses less digits than its factorization.

349282800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32368 (or 32351 counting only the distinct ones).

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

The square root of 349282800 is about 18689.1091280457. The cubic root of 349282800 is about 704.2481799751.

The spelling of 349282800 in words is "three hundred forty-nine million, two hundred eighty-two thousand, eight hundred".