3382596 has 72 divisors (see below), whose sum is σ = 10110464. Its totient is φ = 933120.

The previous prime is 3382571. The next prime is 3382607. The reversal of 3382596 is 6952833.

3382596 = 1² + 2² + ... + 216².

3382596 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3382596² = 22883911398432, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3382596.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7596 + ... + 8028.

Almost surely, 2^3382596 is an apocalyptic number.

3382596 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 3382596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5055232).

3382596 is an abundant number, since it is smaller than the sum of its proper divisors (6727868).

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

3382596 is a wasteful number, since it uses less digits than its factorization.

3382596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 476 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 3382596 is about 1839.1835144977. The cubic root of 3382596 is about 150.1124490137.

3382596 divided by its sum of digits (36) gives a triangular number (93961 = T₄₃₃).

The spelling of 3382596 in words is "three million, three hundred eighty-two thousand, five hundred ninety-six".