3788736 has 56 divisors (see below), whose sum is σ = 11460480. Its totient is φ = 1082112.

The previous prime is 3788713. The next prime is 3788737. The reversal of 3788736 is 6378873.

It is a happy number.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3788737) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66 + ... + 2753.

Almost surely, 2^3788736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3788736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5730240).

3788736 is an abundant number, since it is smaller than the sum of its proper divisors (7671744).

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

3788736 is a wasteful number, since it uses less digits than its factorization.

3788736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2841 (or 2831 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 3788736 is about 1946.4675697273. The cubic root of 3788736 is about 155.8947350344.

The spelling of 3788736 in words is "three million, seven hundred eighty-eight thousand, seven hundred thirty-six".