3936000 has 144 divisors (see below), whose sum is σ = 13392288. Its totient is φ = 1024000.

The previous prime is 3935999. The next prime is 3936001. The reversal of 3936000 is 6393.

It is an interprime number because it is at equal distance from previous prime (3935999) and next prime (3936001).

It is a zygodrome in base 2 and base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3936001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95980 + ... + 96020.

It is an arithmetic number, because the mean of its divisors is an integer number (93002).

Almost surely, 2^3936000 is an apocalyptic number.

3936000 is a gapful number since it is divisible by the number (30) 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 3936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6696144).

3936000 is an abundant number, since it is smaller than the sum of its proper divisors (9456288).

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

3936000 is an equidigital number, since it uses as much as digits as its factorization.

3936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

The square root of 3936000 is about 1983.9354828220. The cubic root of 3936000 is about 157.8889354594. Note that the first 3 decimals are identical.

The spelling of 3936000 in words is "three million, nine hundred thirty-six thousand".