3800608 has 72 divisors (see below), whose sum is σ = 9217152. Its totient is φ = 1510272.

The previous prime is 3800593. The next prime is 3800609. The reversal of 3800608 is 8060083.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3800609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80841 + ... + 80887.

It is an arithmetic number, because the mean of its divisors is an integer number (128016).

Almost surely, 2^3800608 is an apocalyptic number.

3800608 is a gapful number since it is divisible by the number (38) 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 3800608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4608576).

3800608 is an abundant number, since it is smaller than the sum of its proper divisors (5416544).

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

3800608 is a wasteful number, since it uses less digits than its factorization.

3800608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 3800608 is about 1949.5148114339. The cubic root of 3800608 is about 156.0573972443.

It can be divided in two parts, 3800 and 608, that multiplied together give a square (2310400 = 1520²).

The spelling of 3800608 in words is "three million, eight hundred thousand, six hundred eight".