340273888900 has 81 divisors (see below), whose sum is σ = 811776608293. Its totient is φ = 123712626400.

The previous prime is 340273888841. The next prime is 340273888957. The reversal of 340273888900 is 9888372043.

The square root of 340273888900 is 583330.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 122498600004 + 217775288896 = 349998^2 + 466664^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 64163649 + ... + 64168951.

Almost surely, 2^340273888900 is an apocalyptic number.

340273888900 is the 583330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340273888900

340273888900 is an abundant number, since it is smaller than the sum of its proper divisors (471502719393).

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

340273888900 is an equidigital number, since it uses as much as digits as its factorization.

340273888900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10642 (or 5321 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 52.

The spelling of 340273888900 in words is "three hundred forty billion, two hundred seventy-three million, eight hundred eighty-eight thousand, nine hundred".