3393936 has 180 divisors, whose sum is σ = 12220572. Its totient is φ = 870912.

The previous prime is 3393893. The next prime is 3393959. The reversal of 3393936 is 6393933.

It can be written as a sum of positive squares in 2 ways, for example, as 1806336 + 1587600 = 1344^2 + 1260^2 .

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 a self number, because there is not a number n which added to its sum of digits gives 3393936.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 91710 + ... + 91746.

Almost surely, 2^3393936 is an apocalyptic number.

3393936 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 3393936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6110286).

3393936 is an abundant number, since it is smaller than the sum of its proper divisors (8826636).

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

3393936 is a wasteful number, since it uses less digits than its factorization.

3393936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 62 counting only the distinct ones).

The product of its digits is 39366, while the sum is 36.

The square root of 3393936 is about 1842.2638247547. The cubic root of 3393936 is about 150.2800103030.

The spelling of 3393936 in words is "three million, three hundred ninety-three thousand, nine hundred thirty-six".