3257628 has 96 divisors (see below), whose sum is σ = 9192960. Its totient is φ = 887040.

The previous prime is 3257623. The next prime is 3257641. The reversal of 3257628 is 8267523.

3257628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

3257628 is a nontrivial binomial coefficient, being equal to C(2553, 2).

It is a super-2 number, since 2×3257628² = 21224280372768, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (20160) is a multiple of the sum of its prime divisors (105).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3257623) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 88026 + ... + 88062.

It is an arithmetic number, because the mean of its divisors is an integer number (95760).

Almost surely, 2^3257628 is an apocalyptic number.

3257628 is the 2552-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3257628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596480).

3257628 is an abundant number, since it is smaller than the sum of its proper divisors (5935332).

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

3257628 is a wasteful number, since it uses less digits than its factorization.

3257628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 105 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 3257628 is about 1804.8900243505. The cubic root of 3257628 is about 148.2405996426.

The spelling of 3257628 in words is "three million, two hundred fifty-seven thousand, six hundred twenty-eight".