3788460 has 72 divisors (see below), whose sum is σ = 12383280. Its totient is φ = 931968.

The previous prime is 3788459. The next prime is 3788483. The reversal of 3788460 is 648873.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1531 + ... + 3149.

It is an arithmetic number, because the mean of its divisors is an integer number (171990).

Almost surely, 2^3788460 is an apocalyptic number.

3788460 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 3788460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6191640).

3788460 is an abundant number, since it is smaller than the sum of its proper divisors (8594820).

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

3788460 is a wasteful number, since it uses less digits than its factorization.

3788460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1642 counting only the distinct ones).

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

The square root of 3788460 is about 1946.3966707740. The cubic root of 3788460 is about 155.8909494278.

The spelling of 3788460 in words is "three million, seven hundred eighty-eight thousand, four hundred sixty".