3784800 has 144 divisors (see below), whose sum is σ = 13124160. Its totient is φ = 944640.

The previous prime is 3784793. The next prime is 3784813. The reversal of 3784800 is 84873.

It is a super-2 number, since 2×3784800² = 28649422080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2 and base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45559 + ... + 45641.

It is an arithmetic number, because the mean of its divisors is an integer number (91140).

Almost surely, 2^3784800 is an apocalyptic number.

3784800 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 3784800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6562080).

3784800 is an abundant number, since it is smaller than the sum of its proper divisors (9339360).

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

3784800 is a wasteful number, since it uses less digits than its factorization.

3784800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 3784800 is about 1945.4562446891. The cubic root of 3784800 is about 155.8407315986.

The spelling of 3784800 in words is "three million, seven hundred eighty-four thousand, eight hundred".