3815936 has 40 divisors (see below), whose sum is σ = 7918020. Its totient is φ = 1835008.

The previous prime is 3815927. The next prime is 3815957. The reversal of 3815936 is 6395183.

It can be written as a sum of positive squares in 2 ways, for example, as 3385600 + 430336 = 1840^2 + 656^2 .

It is a super-2 number, since 2×3815936² = 29122735112192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3815896 and 3815905.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14720 + ... + 14976.

Almost surely, 2^3815936 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 3815936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3959010).

3815936 is an abundant number, since it is smaller than the sum of its proper divisors (4102084).

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

3815936 is an equidigital number, since it uses as much as digits as its factorization.

3815936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 288 counting only the distinct ones).

The product of its digits is 19440, while the sum is 35.

The square root of 3815936 is about 1953.4420902602. The cubic root of 3815936 is about 156.2669110230.

The spelling of 3815936 in words is "three million, eight hundred fifteen thousand, nine hundred thirty-six".