362272628349 has 24 divisors (see below), whose sum is σ = 524674948824. Its totient is φ = 240873360000.

The previous prime is 362272628317. The next prime is 362272628351. The reversal of 362272628349 is 943826272263.

362272628349 is a `hidden beast` number, since 3 + 6 + 2 + 2 + 7 + 2 + 628 + 3 + 4 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21957905124 + 340314723225 = 148182^2 + 583365^2 .

It is not a de Polignac number, because 362272628349 - 2⁵ = 362272628317 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 362272628295 and 362272628304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (362272628749) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5144719 + ... + 5214659.

It is an arithmetic number, because the mean of its divisors is an integer number (21861456201).

Almost surely, 2^362272628349 is an apocalyptic number.

It is an amenable number.

362272628349 is a deficient number, since it is larger than the sum of its proper divisors (162402320475).

362272628349 is a wasteful number, since it uses less digits than its factorization.

362272628349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71469 (or 71466 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 362272628349 in words is "three hundred sixty-two billion, two hundred seventy-two million, six hundred twenty-eight thousand, three hundred forty-nine".