3648934752 has 48 divisors (see below), whose sum is σ = 9587934720. Its totient is φ = 1215107712.

The previous prime is 3648934747. The next prime is 3648934759. The reversal of 3648934752 is 2574398463.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3648934695 and 3648934704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3648934759) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 81453 + ... + 118035.

It is an arithmetic number, because the mean of its divisors is an integer number (199748640).

Almost surely, 2^3648934752 is an apocalyptic number.

3648934752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3648934752 is an abundant number, since it is smaller than the sum of its proper divisors (5938999968).

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

3648934752 is a wasteful number, since it uses less digits than its factorization.

3648934752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37635 (or 37627 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 51.

The square root of 3648934752 is about 60406.4131694641. The cubic root of 3648934752 is about 1539.5319249856.

The spelling of 3648934752 in words is "three billion, six hundred forty-eight million, nine hundred thirty-four thousand, seven hundred fifty-two".