3736768 has 56 divisors (see below), whose sum is σ = 8940800. Its totient is φ = 1513728.

The previous prime is 3736763. The next prime is 3736769. The reversal of 3736768 is 8676373.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 3736768.

It is not an unprimeable number, because it can be changed into a prime (3736763) 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 7 ways as a sum of consecutive naturals, for example, 8293 + ... + 8731.

Almost surely, 2^3736768 is an apocalyptic number.

3736768 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3736768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4470400).

3736768 is an abundant number, since it is smaller than the sum of its proper divisors (5204032).

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

3736768 is a wasteful number, since it uses less digits than its factorization.

3736768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 467 counting only the distinct ones).

The product of its digits is 127008, while the sum is 40.

The square root of 3736768 is about 1933.0721662680. The cubic root of 3736768 is about 155.1786770578.

The spelling of 3736768 in words is "three million, seven hundred thirty-six thousand, seven hundred sixty-eight".