3362583672 has 256 divisors, whose sum is σ = 11410944000. Its totient is φ = 896075136.

The previous prime is 3362583661. The next prime is 3362583673. The reversal of 3362583672 is 2763852633.

3362583672 is a `hidden beast` number, since 3 + 3 + 6 + 2 + 583 + 67 + 2 = 666.

3362583672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3362583672² = 22613937902402007168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3362583673) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1923903 + ... + 1925649.

It is an arithmetic number, because the mean of its divisors is an integer number (44574000).

Almost surely, 2^3362583672 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 3362583672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5705472000).

3362583672 is an abundant number, since it is smaller than the sum of its proper divisors (8048360328).

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

3362583672 is a wasteful number, since it uses less digits than its factorization.

3362583672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1855 (or 1845 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 3362583672 is about 57987.7889904418. The cubic root of 3362583672 is about 1498.1582836461.

The spelling of 3362583672 in words is "three billion, three hundred sixty-two million, five hundred eighty-three thousand, six hundred seventy-two".