348276206900 has 72 divisors (see below), whose sum is σ = 801429002136. Its totient is φ = 130916966400.

The previous prime is 348276206893. The next prime is 348276206921. The reversal of 348276206900 is 9602672843.

It can be written as a sum of positive squares in 12 ways, for example, as 16864139044 + 331412067856 = 129862^2 + 575684^2 .

It is a super-2 number, since 2×348276206900² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 968732 + ... + 1278668.

It is an arithmetic number, because the mean of its divisors is an integer number (11130958363).

Almost surely, 2^348276206900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348276206900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400714501068).

348276206900 is an abundant number, since it is smaller than the sum of its proper divisors (453152795236).

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

348276206900 is a wasteful number, since it uses less digits than its factorization.

348276206900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310629 (or 310622 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 47.

The spelling of 348276206900 in words is "three hundred forty-eight billion, two hundred seventy-six million, two hundred six thousand, nine hundred".