3362144256 has 135 divisors (see below), whose sum is σ = 9777312363. Its totient is φ = 1113292800.

The previous prime is 3362144251. The next prime is 3362144267. The reversal of 3362144256 is 6524412633.

The square root of 3362144256 is 57984.

It is a perfect power (a square), and thus also a powerful number.

3362144256 is a `hidden beast` number, since 3 + 3 + 621 + 4 + 4 + 25 + 6 = 666.

It is a super-2 number, since 2×3362144256² = 22608027996307587072, which contains 22 as substring.

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

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 3362144256.

It is not an unprimeable number, because it can be changed into a prime (3362144251) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22265781 + ... + 22265931.

Almost surely, 2^3362144256 is an apocalyptic number.

3362144256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3362144256 is the 57984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3362144256

3362144256 is an abundant number, since it is smaller than the sum of its proper divisors (6415168107).

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

3362144256 is an frugal number, since it uses more digits than its factorization.

3362144256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 156 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The cubic root of 3362144256 is about 1498.0930219839.

Multiplying 3362144256 by its sum of digits (36), we get a square (121037193216 = 347904²).

3362144256 divided by its sum of digits (36) gives a square (93392896 = 9664²).

Adding to 3362144256 its reverse (6524412633), we get a palindrome (9886556889).

It can be divided in two parts, 33621 and 44256, that added together give a palindrome (77877).

The spelling of 3362144256 in words is "three billion, three hundred sixty-two million, one hundred forty-four thousand, two hundred fifty-six".