3647067864 has 128 divisors (see below), whose sum is σ = 10511769600. Its totient is φ = 1043602560.

The previous prime is 3647067857. The next prime is 3647067871. The reversal of 3647067864 is 4687607463.

It is an interprime number because it is at equal distance from previous prime (3647067857) and next prime (3647067871).

It is a super-2 number, since 2×3647067864² = 26602208009243044992, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 475887 + ... + 483489.

It is an arithmetic number, because the mean of its divisors is an integer number (82123200).

Almost surely, 2^3647067864 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 3647067864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5255884800).

3647067864 is an abundant number, since it is smaller than the sum of its proper divisors (6864701736).

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

3647067864 is a wasteful number, since it uses less digits than its factorization.

3647067864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7725 (or 7721 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 51.

The square root of 3647067864 is about 60390.9584623394. The cubic root of 3647067864 is about 1539.2693256087.

The spelling of 3647067864 in words is "three billion, six hundred forty-seven million, sixty-seven thousand, eight hundred sixty-four".