3646673856 has 168 divisors, whose sum is σ = 12124944000. Its totient is φ = 1026279936.

The previous prime is 3646673843. The next prime is 3646673909. The reversal of 3646673856 is 6583766463.

3646673856 is a `hidden beast` number, since 36 + 466 + 73 + 85 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 263395 + ... + 276893.

Almost surely, 2^3646673856 is an apocalyptic number.

3646673856 is a gapful number since it is divisible by the number (36) 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 3646673856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6062472000).

3646673856 is an abundant number, since it is smaller than the sum of its proper divisors (8478270144).

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

3646673856 is a wasteful number, since it uses less digits than its factorization.

3646673856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13591 (or 13578 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The square root of 3646673856 is about 60387.6962302753. The cubic root of 3646673856 is about 1539.2138923774.

The spelling of 3646673856 in words is "three billion, six hundred forty-six million, six hundred seventy-three thousand, eight hundred fifty-six".