3736345 has 16 divisors (see below), whose sum is σ = 4801680. Its totient is φ = 2781184.

The previous prime is 3736307. The next prime is 3736349. The reversal of 3736345 is 5436373.

It can be written as a sum of positive squares in 8 ways, for example, as 535824 + 3200521 = 732^2 + 1789^2 .

It is a cyclic number.

It is not a de Polignac number, because 3736345 - 2⁹ = 3735833 is a prime.

3736345 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (3736349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9411 + ... + 9799.

It is an arithmetic number, because the mean of its divisors is an integer number (300105).

Almost surely, 2^3736345 is an apocalyptic number.

It is an amenable number.

3736345 is a deficient number, since it is larger than the sum of its proper divisors (1065335).

3736345 is a wasteful number, since it uses less digits than its factorization.

3736345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524.

The product of its digits is 22680, while the sum is 31.

The square root of 3736345 is about 1932.9627518398. The cubic root of 3736345 is about 155.1728214577.

The spelling of 3736345 in words is "three million, seven hundred thirty-six thousand, three hundred forty-five".