3602284224 has 336 divisors, whose sum is σ = 12686897664. Its totient is φ = 879943680.

The previous prime is 3602284201. The next prime is 3602284249. The reversal of 3602284224 is 4224822063.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2763957 + ... + 2765259.

It is an arithmetic number, because the mean of its divisors is an integer number (37758624).

Almost surely, 2^3602284224 is an apocalyptic number.

3602284224 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3602284224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6343448832).

3602284224 is an abundant number, since it is smaller than the sum of its proper divisors (9084613440).

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

3602284224 is a wasteful number, since it uses less digits than its factorization.

3602284224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 3602284224 is about 60019.0321814672. The cubic root of 3602284224 is about 1532.9429485481.

The spelling of 3602284224 in words is "three billion, six hundred two million, two hundred eighty-four thousand, two hundred twenty-four".