3768320 has 64 divisors (see below), whose sum is σ = 9437040. Its totient is φ = 1441792.

The previous prime is 3768311. The next prime is 3768341. The reversal of 3768320 is 238673.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 163829 + ... + 163851.

Almost surely, 2^3768320 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 3768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4718520).

3768320 is an abundant number, since it is smaller than the sum of its proper divisors (5668720).

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

3768320 is an frugal number, since it uses more digits than its factorization.

3768320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 3768320 is about 1941.2161136772. The cubic root of 3768320 is about 155.6142121950.

The spelling of 3768320 in words is "three million, seven hundred sixty-eight thousand, three hundred twenty".