349045200 has 540 divisors, whose sum is σ = 1513152160. Its totient is φ = 75582720.

The previous prime is 349045199. The next prime is 349045211. The reversal of 349045200 is 2540943.

It is a tau number, because it is divible by the number of its divisors (540).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 107 ways as a sum of consecutive naturals, for example, 18370791 + ... + 18370809.

Almost surely, 2^349045200 is an apocalyptic number.

349045200 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 349045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756576080).

349045200 is an abundant number, since it is smaller than the sum of its proper divisors (1164106960).

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

349045200 is an equidigital number, since it uses as much as digits as its factorization.

349045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 349045200 is about 18682.7514033667. The cubic root of 349045200 is about 704.0884552250.

It can be divided in two parts, 34904 and 5200, that added together give a palindrome (40104).

The spelling of 349045200 in words is "three hundred forty-nine million, forty-five thousand, two hundred".