3362772 has 96 divisors (see below), whose sum is σ = 9856000. Its totient is φ = 889056.

The previous prime is 3362741. The next prime is 3362809. The reversal of 3362772 is 2772633.

It is a super-2 number, since 2×3362772² = 22616471047968, which contains 22 as substring.

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 3 + 3⁹ + 6⁸ + 2¹³ + 7⁷ + 7⁷ + 2¹³ .

3362772 is a modest number, since divided by 2772 gives 336 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78183 + ... + 78225.

Almost surely, 2^3362772 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 3362772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4928000).

3362772 is an abundant number, since it is smaller than the sum of its proper divisors (6493228).

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

3362772 is a wasteful number, since it uses less digits than its factorization.

3362772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 74 counting only the distinct ones).

The product of its digits is 10584, while the sum is 30.

The square root of 3362772 is about 1833.7862470855. The cubic root of 3362772 is about 149.8186252208.

The spelling of 3362772 in words is "three million, three hundred sixty-two thousand, seven hundred seventy-two".