3388644 has 108 divisors (see below), whose sum is σ = 10643724. Its totient is φ = 903168.

The previous prime is 3388643. The next prime is 3388657. The reversal of 3388644 is 4468833.

3388644 is a `hidden beast` number, since 3 + 3 + 8 + 8 + 644 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1102500 + 2286144 = 1050^2 + 1512^2 .

It is a super-2 number, since 2×3388644² = 22965816317472, which contains 22 as substring.

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 3² + 3¹³ + 8 + 8⁵ + 6⁸ + 4⁷ + 4⁸ .

It is a junction number, because it is equal to n+sod(n) for n = 3388599 and 3388608.

It is not an unprimeable number, because it can be changed into a prime (3388643) 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, 29932 + ... + 30044.

It is an arithmetic number, because the mean of its divisors is an integer number (98553).

Almost surely, 2^3388644 is an apocalyptic number.

3388644 is a gapful number since it is divisible by the number (34) 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 3388644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5321862).

3388644 is an abundant number, since it is smaller than the sum of its proper divisors (7255080).

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

3388644 is a wasteful number, since it uses less digits than its factorization.

3388644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 142 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 3388644 is about 1840.8269880681. The cubic root of 3388644 is about 150.2018615576.

It can be divided in two parts, 33886 and 44, that added together give a triangular number (33930 = T₂₆₀).

The spelling of 3388644 in words is "three million, three hundred eighty-eight thousand, six hundred forty-four".