349701300 has 324 divisors, whose sum is σ = 1255672236. Its totient is φ = 83980800.

The previous prime is 349701283. The next prime is 349701311. The reversal of 349701300 is 3107943.

It can be written as a sum of positive squares in 6 ways, for example, as 117809316 + 231891984 = 10854^2 + 15228^2 .

It is a tau number, because it is divible by the number of its divisors (324).

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, 8529280 + ... + 8529320.

Almost surely, 2^349701300 is an apocalyptic number.

349701300 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 349701300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627836118).

349701300 is an abundant number, since it is smaller than the sum of its proper divisors (905970936).

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

349701300 is a wasteful number, since it uses less digits than its factorization.

349701300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 349701300 is about 18700.3021365966. The cubic root of 349701300 is about 704.5293372783.

The spelling of 349701300 in words is "three hundred forty-nine million, seven hundred one thousand, three hundred".