3362688 has 128 divisors (see below), whose sum is σ = 11424000. Its totient is φ = 953856.

The previous prime is 3362683. The next prime is 3362693. The reversal of 3362688 is 8862633.

It is an interprime number because it is at equal distance from previous prime (3362683) and next prime (3362693).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3362688² = 22615341170688, 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 a d-powerful number, because it can be written as 3⁵ + 3⁷ + 6⁸ + 2 + 6⁸ + 8³ + 8³ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3362683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24123 + ... + 24261.

It is an arithmetic number, because the mean of its divisors is an integer number (89250).

Almost surely, 2^3362688 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 3362688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5712000).

3362688 is an abundant number, since it is smaller than the sum of its proper divisors (8061312).

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

3362688 is a wasteful number, since it uses less digits than its factorization.

3362688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 151 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3362688 is about 1833.7633435097. The cubic root of 3362688 is about 149.8173777510.

Subtracting 3362688 from its reverse (8862633), we obtain a palindrome (5499945).

The spelling of 3362688 in words is "three million, three hundred sixty-two thousand, six hundred eighty-eight".