3936940 has 48 divisors (see below), whose sum is σ = 9624384. Its totient is φ = 1324800.

The previous prime is 3936929. The next prime is 3936967. The reversal of 3936940 is 496393.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3936896 and 3936905.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8310 + ... + 8770.

It is an arithmetic number, because the mean of its divisors is an integer number (200508).

Almost surely, 2^3936940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3936940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4812192).

3936940 is an abundant number, since it is smaller than the sum of its proper divisors (5687444).

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

3936940 is a wasteful number, since it uses less digits than its factorization.

3936940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 34.

The square root of 3936940 is about 1984.1723715444. The cubic root of 3936940 is about 157.9015035307.

The spelling of 3936940 in words is "three million, nine hundred thirty-six thousand, nine hundred forty".