363704280241 has 9 divisors (see below), whose sum is σ = 383866195563. Its totient is φ = 344551094280.

The previous prime is 363704280239. The next prime is 363704280307. The reversal of 363704280241 is 142082407363.

It is a happy number.

The square root of 363704280241 is 603079.

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., 258144270241 + 105560010000 = 508079^2 + 324900^2 .

It is not a de Polignac number, because 363704280241 - 2¹ = 363704280239 is a prime.

It is a super-3 number, since 3×363704280241³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 363704280194 and 363704280203.

It is not an unprimeable number, because it can be changed into a prime (363704280211) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11442631 + ... + 11474371.

It is an arithmetic number, because the mean of its divisors is an integer number (42651799507).

Almost surely, 2^363704280241 is an apocalyptic number.

363704280241 is the 603079-th square number.

363704280241 is the 301540-th centered octagonal number.

It is an amenable number.

363704280241 is a deficient number, since it is larger than the sum of its proper divisors (20161915322).

363704280241 is an frugal number, since it uses more digits than its factorization.

363704280241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63520 (or 31760 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 363704280241 in words is "three hundred sixty-three billion, seven hundred four million, two hundred eighty thousand, two hundred forty-one".