3780800 has 84 divisors (see below), whose sum is σ = 9921240. Its totient is φ = 1413120.

The previous prime is 3780797. The next prime is 3780811. The reversal of 3780800 is 80873.

It is a super-3 number, since 3×3780800³ (a number of 21 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3780800.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27131 + ... + 27269.

It is an arithmetic number, because the mean of its divisors is an integer number (118110).

Almost surely, 2^3780800 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 3780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4960620).

3780800 is an abundant number, since it is smaller than the sum of its proper divisors (6140440).

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

3780800 is a wasteful number, since it uses less digits than its factorization.

3780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 3780800 is about 1944.4279364379. The cubic root of 3780800 is about 155.7858116859.

The spelling of 3780800 in words is "three million, seven hundred eighty thousand, eight hundred".