3584674368 has 252 divisors, whose sum is σ = 11892615280. Its totient is φ = 1028712960.

The previous prime is 3584674343. The next prime is 3584674381. The reversal of 3584674368 is 8634764853.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1322871 + ... + 1325577.

Almost surely, 2^3584674368 is an apocalyptic number.

3584674368 is a gapful number since it is divisible by the number (38) 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 3584674368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5946307640).

3584674368 is an abundant number, since it is smaller than the sum of its proper divisors (8307940912).

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

3584674368 is a wasteful number, since it uses less digits than its factorization.

3584674368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2766 (or 2742 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The square root of 3584674368 is about 59872.1501868774. The cubic root of 3584674368 is about 1530.4409237978.

The spelling of 3584674368 in words is "three billion, five hundred eighty-four million, six hundred seventy-four thousand, three hundred sixty-eight".