3482766 has 48 divisors (see below), whose sum is σ = 8731008. Its totient is φ = 982800.

The previous prime is 3482761. The next prime is 3482767. The reversal of 3482766 is 6672843.

It is a d-powerful number, because it can be written as 3⁷ + 4 + 8 + 2²¹ + 7⁷ + 6⁷ + 6⁷ .

It is a self number, because there is not a number n which added to its sum of digits gives 3482766.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3482761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16401 + ... + 16611.

It is an arithmetic number, because the mean of its divisors is an integer number (181896).

Almost surely, 2^3482766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3482766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4365504).

3482766 is an abundant number, since it is smaller than the sum of its proper divisors (5248242).

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

3482766 is a wasteful number, since it uses less digits than its factorization.

3482766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 354 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 3482766 is about 1866.2170291796. The cubic root of 3482766 is about 151.5798357115.

The spelling of 3482766 in words is "three million, four hundred eighty-two thousand, seven hundred sixty-six".