3937626 has 64 divisors (see below), whose sum is σ = 10920960. Its totient is φ = 1021680.

The previous prime is 3937621. The next prime is 3937631. The reversal of 3937626 is 6267393.

3937626 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3937621) and next prime (3937631).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (3937621) 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 31 ways as a sum of consecutive naturals, for example, 3685 + ... + 4631.

It is an arithmetic number, because the mean of its divisors is an integer number (170640).

Almost surely, 2^3937626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3937626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5460480).

3937626 is an abundant number, since it is smaller than the sum of its proper divisors (6983334).

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

3937626 is a wasteful number, since it uses less digits than its factorization.

3937626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 970 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The square root of 3937626 is about 1984.3452320602. The cubic root of 3937626 is about 157.9106742860.

The spelling of 3937626 in words is "three million, nine hundred thirty-seven thousand, six hundred twenty-six".