3726128 has 80 divisors (see below), whose sum is σ = 9285120. Its totient is φ = 1410048.

The previous prime is 3726127. The next prime is 3726131. The reversal of 3726128 is 8216273.

It is a happy number.

3726128 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3726128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3726127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36125 + ... + 36227.

It is an arithmetic number, because the mean of its divisors is an integer number (116064).

Almost surely, 2^3726128 is an apocalyptic number.

3726128 is a gapful number since it is divisible by the number (38) 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 3726128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4642560).

3726128 is an abundant number, since it is smaller than the sum of its proper divisors (5558992).

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

3726128 is a wasteful number, since it uses less digits than its factorization.

3726128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 148 counting only the distinct ones).

The product of its digits is 4032, while the sum is 29.

The square root of 3726128 is about 1930.3181084992. The cubic root of 3726128 is about 155.0312528031.

The spelling of 3726128 in words is "three million, seven hundred twenty-six thousand, one hundred twenty-eight".