350144392900 has 81 divisors (see below), whose sum is σ = 776940645229. Its totient is φ = 136968926560.

The previous prime is 350144392841. The next prime is 350144392903. The reversal of 350144392900 is 9293441053.

The square root of 350144392900 is 591730.

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., 126051981444 + 224092411456 = 355038^2 + 473384^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (350144392903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 278112471 + ... + 278113729.

Almost surely, 2^350144392900 is an apocalyptic number.

350144392900 is the 591730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350144392900

350144392900 is an abundant number, since it is smaller than the sum of its proper divisors (426796252329).

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

350144392900 is an equidigital number, since it uses as much as digits as its factorization.

350144392900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2626 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

It can be divided in two parts, 350144 and 392900, that added together give a square (743044 = 862²).

The spelling of 350144392900 in words is "three hundred fifty billion, one hundred forty-four million, three hundred ninety-two thousand, nine hundred".