3361824 has 60 divisors (see below), whose sum is σ = 9894654. Its totient is φ = 1119744.

The previous prime is 3361823. The next prime is 3361829. The reversal of 3361824 is 4281633.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1774224 + 1587600 = 1332^2 + 1260^2 .

It is a super-2 number, since 2×3361824² = 22603721213952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3361823) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1944 + ... + 3240.

Almost surely, 2^3361824 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 3361824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4947327).

3361824 is an abundant number, since it is smaller than the sum of its proper divisors (6532830).

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

3361824 is a wasteful number, since it uses less digits than its factorization.

3361824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1302 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 3361824 is about 1833.5277472675. The cubic root of 3361824 is about 149.8045454274.

The spelling of 3361824 in words is "three million, three hundred sixty-one thousand, eight hundred twenty-four".