3780000 has 240 divisors, whose sum is σ = 15744960. Its totient is φ = 864000.

The previous prime is 3779929. The next prime is 3780017. The reversal of 3780000 is 873.

3780000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 539997 + ... + 540003.

It is an arithmetic number, because the mean of its divisors is an integer number (65604).

Almost surely, 2^3780000 is an apocalyptic number.

3780000 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 3780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7872480).

3780000 is an abundant number, since it is smaller than the sum of its proper divisors (11964960).

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

3780000 is an equidigital number, since it uses as much as digits as its factorization.

3780000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 3780000 is about 1944.2222095224. Note that the first 4 decimals coincide. The cubic root of 3780000 is about 155.7748230555.

Multiplying 3780000 by its product of nonzero digits (168), we get a square (635040000 = 25200²).

3780000 divided by its product of nonzero digits (168) gives a square (22500 = 150²).

Adding to 3780000 its reverse (873), we get a palindrome (3780873).

The spelling of 3780000 in words is "three million, seven hundred eighty thousand".