349752900 has 288 divisors, whose sum is σ = 1249420032. Its totient is φ = 73728000.

The previous prime is 349752869. The next prime is 349752929. The reversal of 349752900 is 9257943.

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 95 ways as a sum of consecutive naturals, for example, 3462850 + ... + 3462950.

It is an arithmetic number, because the mean of its divisors is an integer number (4338264).

Almost surely, 2^349752900 is an apocalyptic number.

349752900 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 349752900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624710016).

349752900 is an abundant number, since it is smaller than the sum of its proper divisors (899667132).

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

349752900 is a wasteful number, since it uses less digits than its factorization.

349752900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 349752900 is about 18701.6817425599. The cubic root of 349752900 is about 704.5639877318.

The spelling of 349752900 in words is "three hundred forty-nine million, seven hundred fifty-two thousand, nine hundred".