3768240 has 80 divisors (see below), whose sum is σ = 13356288. Its totient is φ = 860928.

The previous prime is 3768227. The next prime is 3768241. The reversal of 3768240 is 428673.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 3768198 and 3768207.

It is not an unprimeable number, because it can be changed into a prime (3768241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559 + ... + 2801.

Almost surely, 2^3768240 is an apocalyptic number.

3768240 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 3768240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6678144).

3768240 is an abundant number, since it is smaller than the sum of its proper divisors (9588048).

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

3768240 is a wasteful number, since it uses less digits than its factorization.

3768240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2266 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 3768240 is about 1941.1955079280. The cubic root of 3768240 is about 155.6131109770.

The spelling of 3768240 in words is "three million, seven hundred sixty-eight thousand, two hundred forty".