3605556864 has 192 divisors, whose sum is σ = 11853656640. Its totient is φ = 950796288.

The previous prime is 3605556859. The next prime is 3605556881. The reversal of 3605556864 is 4686555063.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 450304 + ... + 458240.

It is an arithmetic number, because the mean of its divisors is an integer number (61737795).

Almost surely, 2^3605556864 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 3605556864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5926828320).

3605556864 is an abundant number, since it is smaller than the sum of its proper divisors (8248099776).

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

3605556864 is a wasteful number, since it uses less digits than its factorization.

3605556864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7987 (or 7962 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 48.

The square root of 3605556864 is about 60046.2893441385. The cubic root of 3605556864 is about 1533.4070292662.

The spelling of 3605556864 in words is "three billion, six hundred five million, five hundred fifty-six thousand, eight hundred sixty-four".