3787728 has 40 divisors (see below), whose sum is σ = 11183808. Its totient is φ = 1082112.

The previous prime is 3787723. The next prime is 3787733. The reversal of 3787728 is 8277873.

3787728 is digitally balanced in base 5 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3787723) and next prime (3787733).

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 d-powerful number, because it can be written as 3⁷ + 7³ + 8⁵ + 7⁷ + 7⁷ + 2¹³ + 8⁷ .

3787728 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 3787728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3787723) 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, 5301 + ... + 5972.

Almost surely, 2^3787728 is an apocalyptic number.

It is an amenable number.

3787728 is an abundant number, since it is smaller than the sum of its proper divisors (7396080).

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

3787728 is a wasteful number, since it uses less digits than its factorization.

3787728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11291 (or 11285 counting only the distinct ones).

The product of its digits is 131712, while the sum is 42.

The square root of 3787728 is about 1946.2086219108. The cubic root of 3787728 is about 155.8809084503.

The spelling of 3787728 in words is "three million, seven hundred eighty-seven thousand, seven hundred twenty-eight".