3736413 has 12 divisors (see below), whose sum is σ = 5714748. Its totient is φ = 2344320.

The previous prime is 3736409. The next prime is 3736423. The reversal of 3736413 is 3146373.

It is a happy number.

3736413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1004004 + 2732409 = 1002^2 + 1653^2 .

It is not a de Polignac number, because 3736413 - 2² = 3736409 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

3736413 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3736423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12058 + ... + 12363.

It is an arithmetic number, because the mean of its divisors is an integer number (476229).

Almost surely, 2^3736413 is an apocalyptic number.

It is an amenable number.

3736413 is a deficient number, since it is larger than the sum of its proper divisors (1978335).

3736413 is a wasteful number, since it uses less digits than its factorization.

3736413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24444 (or 24441 counting only the distinct ones).

The product of its digits is 4536, while the sum is 27.

The square root of 3736413 is about 1932.9803413382. The cubic root of 3736413 is about 155.1737628133.

It can be divided in two parts, 373 and 6413, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 3736413 in words is "three million, seven hundred thirty-six thousand, four hundred thirteen".