349954200 has 288 divisors, whose sum is σ = 1253491200. Its totient is φ = 87310080.

The previous prime is 349954183. The next prime is 349954207. The reversal of 349954200 is 2459943.

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 (349954207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3270547 + ... + 3270653.

It is an arithmetic number, because the mean of its divisors is an integer number (4352400).

Almost surely, 2^349954200 is an apocalyptic number.

349954200 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 349954200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626745600).

349954200 is an abundant number, since it is smaller than the sum of its proper divisors (903537000).

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

349954200 is a wasteful number, since it uses less digits than its factorization.

349954200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 349954200 is about 18707.0628373350. The cubic root of 349954200 is about 704.6991322197.

The spelling of 349954200 in words is "three hundred forty-nine million, nine hundred fifty-four thousand, two hundred".