3648971424 has 96 divisors (see below), whose sum is σ = 10968241536. Its totient is φ = 1040532480.

The previous prime is 3648971363. The next prime is 3648971437. The reversal of 3648971424 is 4241798463.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 358534 + ... + 368570.

It is an arithmetic number, because the mean of its divisors is an integer number (114252516).

Almost surely, 2^3648971424 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 3648971424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5484120768).

3648971424 is an abundant number, since it is smaller than the sum of its proper divisors (7319270112).

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

3648971424 is a wasteful number, since it uses less digits than its factorization.

3648971424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10598 (or 10590 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 3648971424 is about 60406.7167126306. The cubic root of 3648971424 is about 1539.5370824292.

The spelling of 3648971424 in words is "three billion, six hundred forty-eight million, nine hundred seventy-one thousand, four hundred twenty-four".