3780240 has 80 divisors (see below), whose sum is σ = 12350400. Its totient is φ = 953856.

The previous prime is 3780199. The next prime is 3780247. The reversal of 3780240 is 420873.

3780240 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3780240.

It is not an unprimeable number, because it can be changed into a prime (3780247) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4146 + ... + 4974.

It is an arithmetic number, because the mean of its divisors is an integer number (154380).

Almost surely, 2^3780240 is an apocalyptic number.

3780240 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 3780240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6175200).

3780240 is an abundant number, since it is smaller than the sum of its proper divisors (8570160).

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

3780240 is a wasteful number, since it uses less digits than its factorization.

3780240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 3780240 is about 1944.2839298827. The cubic root of 3780240 is about 155.7781198074.

The spelling of 3780240 in words is "three million, seven hundred eighty thousand, two hundred forty".