3788064 has 72 divisors (see below), whose sum is σ = 12317760. Its totient is φ = 1081728.

The previous prime is 3788051. The next prime is 3788111. The reversal of 3788064 is 4608873.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1077 + ... + 2955.

It is an arithmetic number, because the mean of its divisors is an integer number (171080).

Almost surely, 2^3788064 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 3788064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6158880).

3788064 is an abundant number, since it is smaller than the sum of its proper divisors (8529696).

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

3788064 is a wasteful number, since it uses less digits than its factorization.

3788064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3788064 is about 1946.2949416776. The cubic root of 3788064 is about 155.8855175842.

The spelling of 3788064 in words is "three million, seven hundred eighty-eight thousand, sixty-four".