3720249 has 20 divisors (see below), whose sum is σ = 5986596. Its totient is φ = 2288736.

The previous prime is 3720247. The next prime is 3720251. The reversal of 3720249 is 9420273.

It is an interprime number because it is at equal distance from previous prime (3720247) and next prime (3720251).

It can be written as a sum of positive squares in 2 ways, for example, as 1774224 + 1946025 = 1332^2 + 1395^2 .

It is not a de Polignac number, because 3720249 - 2¹ = 3720247 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 3⁸ + 7⁷ + 2¹⁹ + 0 + 2²¹ + 4⁹ + 9⁴ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3720247) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 714 + ... + 2819.

Almost surely, 2^3720249 is an apocalyptic number.

3720249 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

3720249 is a deficient number, since it is larger than the sum of its proper divisors (2266347).

3720249 is a wasteful number, since it uses less digits than its factorization.

3720249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3558 (or 3549 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3720249 is about 1928.7947013614. The cubic root of 3720249 is about 154.9496749561.

Adding to 3720249 its product of nonzero digits (3024), we get a palindrome (3723273).

It can be divided in two parts, 3720 and 249, that added together give a square (3969 = 63²).

The spelling of 3720249 in words is "three million, seven hundred twenty thousand, two hundred forty-nine".