3791872 has 66 divisors (see below), whose sum is σ = 9055928. Its totient is φ = 1554432.

The previous prime is 3791863. The next prime is 3791873. The reversal of 3791872 is 2781973.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3791873) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 164853 + ... + 164875.

Almost surely, 2^3791872 is an apocalyptic number.

3791872 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 3791872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4527964).

3791872 is an abundant number, since it is smaller than the sum of its proper divisors (5264056).

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

3791872 is an equidigital number, since it uses as much as digits as its factorization.

3791872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 32 counting only the distinct ones).

The product of its digits is 21168, while the sum is 37.

The square root of 3791872 is about 1947.2729649435. The cubic root of 3791872 is about 155.9377353970.

The spelling of 3791872 in words is "three million, seven hundred ninety-one thousand, eight hundred seventy-two".