3788640 has 96 divisors (see below), whose sum is σ = 13275360. Its totient is φ = 1009152.

The previous prime is 3788639. The next prime is 3788663. The reversal of 3788640 is 468873.

3788640 is a `hidden beast` number, since 3 + 7 + 8 + 8 + 640 = 666.

3788640 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 (36).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3788595 and 3788604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3882 + ... + 4758.

It is an arithmetic number, because the mean of its divisors is an integer number (138285).

Almost surely, 2^3788640 is an apocalyptic number.

3788640 is a gapful number since it is divisible by the number (30) 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 3788640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6637680).

3788640 is an abundant number, since it is smaller than the sum of its proper divisors (9486720).

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

3788640 is a wasteful number, since it uses less digits than its factorization.

3788640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 887 counting only the distinct ones).

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

The square root of 3788640 is about 1946.4429095147. The cubic root of 3788640 is about 155.8934183225.

The spelling of 3788640 in words is "three million, seven hundred eighty-eight thousand, six hundred forty".