3736864 has 24 divisors (see below), whose sum is σ = 7596288. Its totient is φ = 1807680.

The previous prime is 3736861. The next prime is 3736867. The reversal of 3736864 is 4686373.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3736861) and next prime (3736867).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3736861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 892 + ... + 2875.

It is an arithmetic number, because the mean of its divisors is an integer number (316512).

Almost surely, 2^3736864 is an apocalyptic number.

It is an amenable number.

3736864 is an abundant number, since it is smaller than the sum of its proper divisors (3859424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3736864 is a wasteful number, since it uses less digits than its factorization.

3736864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3808 (or 3800 counting only the distinct ones).

The product of its digits is 72576, while the sum is 37.

The square root of 3736864 is about 1933.0969970490. The cubic root of 3736864 is about 155.1800059268.

The spelling of 3736864 in words is "three million, seven hundred thirty-six thousand, eight hundred sixty-four".