3915936 has 36 divisors (see below), whose sum is σ = 11136762. Its totient is φ = 1305216.

The previous prime is 3915931. The next prime is 3915937. The reversal of 3915936 is 6395193.

It can be written as a sum of positive squares in only one way, i.e., 3825936 + 90000 = 1956^2 + 300^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3915936.

It is not an unprimeable number, because it can be changed into a prime (3915931) 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, 6511 + ... + 7086.

Almost surely, 2^3915936 is an apocalyptic number.

3915936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3915936 is an abundant number, since it is smaller than the sum of its proper divisors (7220826).

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

3915936 is a wasteful number, since it uses less digits than its factorization.

3915936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13613 (or 13602 counting only the distinct ones).

The product of its digits is 21870, while the sum is 36.

The square root of 3915936 is about 1978.8724061950. The cubic root of 3915936 is about 157.6201954760.

It can be divided in two parts, 3915 and 936, that added together give a triangular number (4851 = T₉₈).

The spelling of 3915936 in words is "three million, nine hundred fifteen thousand, nine hundred thirty-six".