3788160 has 64 divisors (see below), whose sum is σ = 12080880. Its totient is φ = 1009664.

The previous prime is 3788159. The next prime is 3788209. The reversal of 3788160 is 618873.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 934 + ... + 2906.

Almost surely, 2^3788160 is an apocalyptic number.

3788160 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 3788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6040440).

3788160 is an abundant number, since it is smaller than the sum of its proper divisors (8292720).

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

3788160 is a wasteful number, since it uses less digits than its factorization.

3788160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 3788160 is about 1946.3196037650. The cubic root of 3788160 is about 155.8868344295.

The spelling of 3788160 in words is "three million, seven hundred eighty-eight thousand, one hundred sixty".