349901100 has 72 divisors (see below), whose sum is σ = 1124875920. Its totient is φ = 93306240.

The previous prime is 349901081. The next prime is 349901107. The reversal of 349901100 is 1109943.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (349901107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 62097 + ... + 67496.

Almost surely, 2^349901100 is an apocalyptic number.

349901100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349901100 is an abundant number, since it is smaller than the sum of its proper divisors (774974820).

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

349901100 is a wasteful number, since it uses less digits than its factorization.

349901100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129616 (or 129603 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 349901100 is about 18705.6435334366. The cubic root of 349901100 is about 704.6634881109.

The spelling of 349901100 in words is "three hundred forty-nine million, nine hundred one thousand, one hundred".