3808800 has 162 divisors, whose sum is σ = 14040117. Its totient is φ = 971520.

The previous prime is 3808793. The next prime is 3808801. The reversal of 3808800 is 88083.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 3732624 + 76176 = 1932^2 + 276^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1380.

It is not an unprimeable number, because it can be changed into a prime (3808801) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 165589 + ... + 165611.

Almost surely, 2^3808800 is an apocalyptic number.

3808800 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 3808800

3808800 is an abundant number, since it is smaller than the sum of its proper divisors (10231317).

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

3808800 is a wasteful number, since it uses less digits than its factorization.

3808800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 3808800 is about 1951.6147160749. The cubic root of 3808800 is about 156.1694411395.

It can be divided in two parts, 380 and 8800, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 3808800 in words is "three million, eight hundred eight thousand, eight hundred".