349747200 has 576 divisors, whose sum is σ = 1462406400. Its totient is φ = 81100800.

The previous prime is 349747187. The next prime is 349747217. The reversal of 349747200 is 2747943.

It is a tau number, because it is divible by the number of its divisors (576).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15206389 + ... + 15206411.

It is an arithmetic number, because the mean of its divisors is an integer number (2538900).

Almost surely, 2^349747200 is an apocalyptic number.

349747200 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 349747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731203200).

349747200 is an abundant number, since it is smaller than the sum of its proper divisors (1112659200).

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

349747200 is a wasteful number, since it uses less digits than its factorization.

349747200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 349747200 is about 18701.5293492270. The cubic root of 349747200 is about 704.5601602329.

The spelling of 349747200 in words is "three hundred forty-nine million, seven hundred forty-seven thousand, two hundred".