349573620884544 has 315 divisors, whose sum is σ = 1205461193946933. Its totient is φ = 99875485043712.

The previous prime is 349573620884503. The next prime is 349573620884599. The reversal of 349573620884544 is 445488026375943.

The square root of 349573620884544 is 18696888.

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

349573620884544 is a `hidden beast` number, since 3 + 4 + 9 + 5 + 73 + 6 + 2 + 0 + 8 + 8 + 4 + 544 = 666.

It can be written as a sum of positive squares in only one way, i.e., 70800107918400 + 278773512966144 = 8414280^2 + 16696512^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9423213004 + ... + 9423250100.

Almost surely, 2^{349573620884544} is an apocalyptic number.

349573620884544 is the 18696888-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349573620884544

349573620884544 is an abundant number, since it is smaller than the sum of its proper divisors (855887573062389).

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

349573620884544 is an frugal number, since it uses more digits than its factorization.

349573620884544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74232 (or 37109 counting only the distinct ones).

The product of its (nonzero) digits is 2786918400, while the sum is 72.

The spelling of 349573620884544 in words is "three hundred forty-nine trillion, five hundred seventy-three billion, six hundred twenty million, eight hundred eighty-four thousand, five hundred forty-four".