3765384 has 96 divisors (see below), whose sum is σ = 12080640. Its totient is φ = 1036800.

The previous prime is 3765383. The next prime is 3765397. The reversal of 3765384 is 4835673.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3765383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15504 + ... + 15744.

It is an arithmetic number, because the mean of its divisors is an integer number (125840).

Almost surely, 2^3765384 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 3765384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6040320).

3765384 is an abundant number, since it is smaller than the sum of its proper divisors (8315256).

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

3765384 is a wasteful number, since it uses less digits than its factorization.

3765384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 284 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 3765384 is about 1940.4597393401. The cubic root of 3765384 is about 155.5737872811.

The spelling of 3765384 in words is "three million, seven hundred sixty-five thousand, three hundred eighty-four".