3967236 has 108 divisors (see below), whose sum is σ = 12635532. Its totient is φ = 1040256.

The previous prime is 3967231. The next prime is 3967237. The reversal of 3967236 is 6327693.

It can be written as a sum of positive squares in 2 ways, for example, as 2160900 + 1806336 = 1470^2 + 1344^2 .

It is a super-2 number, since 2×3967236² = 31477922959392, which contains 22 as substring.

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

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

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 3967236.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3967231) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22846 + ... + 23018.

Almost surely, 2^3967236 is an apocalyptic number.

3967236 is a gapful number since it is divisible by the number (36) 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 3967236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6317766).

3967236 is an abundant number, since it is smaller than the sum of its proper divisors (8668296).

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

3967236 is a wasteful number, since it uses less digits than its factorization.

3967236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 198 counting only the distinct ones).

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

The square root of 3967236 is about 1991.7921578317. The cubic root of 3967236 is about 158.3055030187.

The spelling of 3967236 in words is "three million, nine hundred sixty-seven thousand, two hundred thirty-six".