349632100 has 36 divisors (see below), whose sum is σ = 760302900. Its totient is φ = 139557760.

The previous prime is 349632079. The next prime is 349632103. The reversal of 349632100 is 1236943.

It can be written as a sum of positive squares in 6 ways, for example, as 31651876 + 317980224 = 5626^2 + 17832^2 .

It is not an unprimeable number, because it can be changed into a prime (349632103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47466 + ... + 54334.

It is an arithmetic number, because the mean of its divisors is an integer number (21119525).

Almost surely, 2^349632100 is an apocalyptic number.

It is an amenable number.

349632100 is an abundant number, since it is smaller than the sum of its proper divisors (410670800).

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

349632100 is a wasteful number, since it uses less digits than its factorization.

349632100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7392 (or 7385 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 349632100 is about 18698.4518075695. The cubic root of 349632100 is about 704.4828627143.

The spelling of 349632100 in words is "three hundred forty-nine million, six hundred thirty-two thousand, one hundred".