3647441016 has 320 divisors, whose sum is σ = 11240570880. Its totient is φ = 1101703680.

The previous prime is 3647441003. The next prime is 3647441027. The reversal of 3647441016 is 6101447463.

3647441016 is a `hidden beast` number, since 3 + 647 + 4 + 4 + 1 + 0 + 1 + 6 = 666.

3647441016 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 2×3647441016² = 26607651930398224512, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28719945 + ... + 28720071.

It is an arithmetic number, because the mean of its divisors is an integer number (35126784).

Almost surely, 2^3647441016 is an apocalyptic number.

3647441016 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 3647441016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5620285440).

3647441016 is an abundant number, since it is smaller than the sum of its proper divisors (7593129864).

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

3647441016 is a wasteful number, since it uses less digits than its factorization.

3647441016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3647441016 is about 60394.0478524167. The cubic root of 3647441016 is about 1539.3218209155.

Adding to 3647441016 its reverse (6101447463), we get a palindrome (9748888479).

The spelling of 3647441016 in words is "three billion, six hundred forty-seven million, four hundred forty-one thousand, sixteen".