3647681856 has 224 divisors, whose sum is σ = 13198734080. Its totient is φ = 961984512.

The previous prime is 3647681831. The next prime is 3647681879. The reversal of 3647681856 is 6581867463.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145650 + ... + 168846.

It is an arithmetic number, because the mean of its divisors is an integer number (58922920).

Almost surely, 2^3647681856 is an apocalyptic number.

3647681856 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 3647681856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6599367040).

3647681856 is an abundant number, since it is smaller than the sum of its proper divisors (9551052224).

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

3647681856 is a wasteful number, since it uses less digits than its factorization.

3647681856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23238 (or 23222 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 3647681856 is about 60396.0417246031. The cubic root of 3647681856 is about 1539.3557005685.

The spelling of 3647681856 in words is "three billion, six hundred forty-seven million, six hundred eighty-one thousand, eight hundred fifty-six".