3788840 has 64 divisors (see below), whose sum is σ = 9504000. Its totient is φ = 1347840.

The previous prime is 3788839. The next prime is 3788843. The reversal of 3788840 is 488873.

It is a super-3 number, since 3×3788840³ (a number of 21 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3788794 and 3788803.

It is not an unprimeable number, because it can be changed into a prime (3788843) 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, 34706 + ... + 34814.

It is an arithmetic number, because the mean of its divisors is an integer number (148500).

Almost surely, 2^3788840 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 3788840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4752000).

3788840 is an abundant number, since it is smaller than the sum of its proper divisors (5715160).

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

3788840 is a wasteful number, since it uses less digits than its factorization.

3788840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 3788840 is about 1946.4942846050. The cubic root of 3788840 is about 155.8961614472.

The spelling of 3788840 in words is "three million, seven hundred eighty-eight thousand, eight hundred forty".