349872300 has 108 divisors (see below), whose sum is σ = 1105651456. Its totient is φ = 92534400.

The previous prime is 349872253. The next prime is 349872331. The reversal of 349872300 is 3278943.

349872300 is a `hidden beast` number, since 349 + 8 + 7 + 2 + 300 = 666.

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

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 35 ways as a sum of consecutive naturals, for example, 112770 + ... + 115830.

Almost surely, 2^349872300 is an apocalyptic number.

349872300 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 349872300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552825728).

349872300 is an abundant number, since it is smaller than the sum of its proper divisors (755779156).

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

349872300 is a wasteful number, since it uses less digits than its factorization.

349872300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3208 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 349872300 is about 18704.8736964461. The cubic root of 349872300 is about 704.6441542046.

The spelling of 349872300 in words is "three hundred forty-nine million, eight hundred seventy-two thousand, three hundred".