3789504 has 140 divisors (see below), whose sum is σ = 12170664. Its totient is φ = 1161216.

The previous prime is 3789497. The next prime is 3789523. The reversal of 3789504 is 4059873.

3789504 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 88107 + ... + 88149.

Almost surely, 2^3789504 is an apocalyptic number.

3789504 is a gapful number since it is divisible by the number (34) 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 3789504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6085332).

3789504 is an abundant number, since it is smaller than the sum of its proper divisors (8381160).

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

3789504 is a wasteful number, since it uses less digits than its factorization.

3789504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3789504 is about 1946.6648401818. The cubic root of 3789504 is about 155.9052679287.

The spelling of 3789504 in words is "three million, seven hundred eighty-nine thousand, five hundred four".