3648476728 has 64 divisors (see below), whose sum is σ = 7558911360. Its totient is φ = 1640290176.

The previous prime is 3648476693. The next prime is 3648476731. The reversal of 3648476728 is 8276748463.

It is a super-2 number, since 2×3648476728² = 26622764869515171968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2087551 + ... + 2089297.

It is an arithmetic number, because the mean of its divisors is an integer number (118107990).

Almost surely, 2^3648476728 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 3648476728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3779455680).

3648476728 is an abundant number, since it is smaller than the sum of its proper divisors (3910434632).

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

3648476728 is a wasteful number, since it uses less digits than its factorization.

3648476728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 2272 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 55.

The square root of 3648476728 is about 60402.6218636244. The cubic root of 3648476728 is about 1539.4675069089.

The spelling of 3648476728 in words is "three billion, six hundred forty-eight million, four hundred seventy-six thousand, seven hundred twenty-eight".