3880800 has 324 divisors, whose sum is σ = 17366076. Its totient is φ = 806400.

The previous prime is 3880781. The next prime is 3880801. The reversal of 3880800 is 80883.

3880800 = T₂₃₁ + T₂₃₂ + ... + T₃₂₈.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3880801) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 352795 + ... + 352805.

It is an arithmetic number, because the mean of its divisors is an integer number (53599).

Almost surely, 2^3880800 is an apocalyptic number.

3880800 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 3880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8683038).

3880800 is an abundant number, since it is smaller than the sum of its proper divisors (13485276).

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

3880800 is a wasteful number, since it uses less digits than its factorization.

3880800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 28 counting only the distinct ones).

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

The square root of 3880800 is about 1969.9746191258. The cubic root of 3880800 is about 157.1473591784.

The spelling of 3880800 in words is "three million, eight hundred eighty thousand, eight hundred".