3789264249 has 45 divisors (see below), whose sum is σ = 5898525529. Its totient is φ = 2344090560.

The previous prime is 3789264247. The next prime is 3789264251. The reversal of 3789264249 is 9424629873.

The square root of 3789264249 is 61557.

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

3789264249 is a `hidden beast` number, since 378 + 9 + 26 + 4 + 249 = 666.

It is an interprime number because it is at equal distance from previous prime (3789264247) and next prime (3789264251).

It can be written as a sum of positive squares in 2 ways, for example, as 1176009849 + 2613254400 = 34293^2 + 51120^2 .

It is not a de Polignac number, because 3789264249 - 2¹ = 3789264247 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 Duffinian number.

Its product of digits (5225472) is a multiple of the sum of its prime factors (216).

It is a junction number, because it is equal to n+sod(n) for n = 3789264195 and 3789264204.

It is not an unprimeable number, because it can be changed into a prime (3789264247) 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 44 ways as a sum of consecutive naturals, for example, 53369884 + ... + 53369954.

Almost surely, 2^3789264249 is an apocalyptic number.

3789264249 is the 61557-th square number.

3789264249 is the 30779-th centered octagonal number.

It is an amenable number.

3789264249 is a deficient number, since it is larger than the sum of its proper divisors (2109261280).

3789264249 is an frugal number, since it uses more digits than its factorization.

3789264249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 91 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The cubic root of 3789264249 is about 1559.0197996702.

The spelling of 3789264249 in words is "three billion, seven hundred eighty-nine million, two hundred sixty-four thousand, two hundred forty-nine".