3748032 has 84 divisors (see below), whose sum is σ = 11187176. Its totient is φ = 1244160.

The previous prime is 3748027. The next prime is 3748033. The reversal of 3748032 is 2308473.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3747987 and 3748005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3748033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15432 + ... + 15672.

Almost surely, 2^3748032 is an apocalyptic number.

3748032 is a gapful number since it is divisible by the number (32) 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 3748032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5593588).

3748032 is an abundant number, since it is smaller than the sum of its proper divisors (7439144).

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

3748032 is an equidigital number, since it uses as much as digits as its factorization.

3748032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3748032 is about 1935.9834710038. The cubic root of 3748032 is about 155.3344426150.

The spelling of 3748032 in words is "three million, seven hundred forty-eight thousand, thirty-two".