3395628 has 48 divisors (see below), whose sum is σ = 9192960. Its totient is φ = 1081872.

The previous prime is 3395603. The next prime is 3395629. The reversal of 3395628 is 8265933.

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

It is a d-powerful number, because it can be written as 3⁷ + 3¹³ + 9⁴ + 5⁷ + 6⁸ + 2¹¹ + 8⁵ .

It is a junction number, because it is equal to n+sod(n) for n = 3395592 and 3395601.

It is not an unprimeable number, because it can be changed into a prime (3395629) 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, 1801 + ... + 3167.

It is an arithmetic number, because the mean of its divisors is an integer number (191520).

Almost surely, 2^3395628 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 3395628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596480).

3395628 is an abundant number, since it is smaller than the sum of its proper divisors (5797332).

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

3395628 is a wasteful number, since it uses less digits than its factorization.

3395628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1395 counting only the distinct ones).

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

The square root of 3395628 is about 1842.7229851500. The cubic root of 3395628 is about 150.3049794965.

The spelling of 3395628 in words is "three million, three hundred ninety-five thousand, six hundred twenty-eight".