3782688 has 96 divisors (see below), whose sum is σ = 12249216. Its totient is φ = 995328.

The previous prime is 3782683. The next prime is 3782689. The reversal of 3782688 is 8862873.

It is a tau number, because it is divible by the number of its divisors (96).

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 3⁶ + 7 + 8² + 2¹⁰ + 6⁸ + 8⁴ + 8⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3782683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8520 + ... + 8952.

It is an arithmetic number, because the mean of its divisors is an integer number (127596).

Almost surely, 2^3782688 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 3782688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6124608).

3782688 is an abundant number, since it is smaller than the sum of its proper divisors (8466528).

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

3782688 is a wasteful number, since it uses less digits than its factorization.

3782688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 458 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 3782688 is about 1944.9133656798. The cubic root of 3782688 is about 155.8117387090.

It can be divided in two parts, 378 and 2688, that multiplied together give a square (1016064 = 1008²).

The spelling of 3782688 in words is "three million, seven hundred eighty-two thousand, six hundred eighty-eight".