3648271456 has 72 divisors (see below), whose sum is σ = 7680464064. Its totient is φ = 1704030720.

The previous prime is 3648271439. The next prime is 3648271493. The reversal of 3648271456 is 6541728463.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 832086 + ... + 836458.

It is an arithmetic number, because the mean of its divisors is an integer number (106673112).

Almost surely, 2^3648271456 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 3648271456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3840232032).

3648271456 is an abundant number, since it is smaller than the sum of its proper divisors (4032192608).

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

3648271456 is a wasteful number, since it uses less digits than its factorization.

3648271456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4472 (or 4435 counting only the distinct ones).

The product of its digits is 967680, while the sum is 46.

The square root of 3648271456 is about 60400.9226419597. The cubic root of 3648271456 is about 1539.4386349965.

The spelling of 3648271456 in words is "three billion, six hundred forty-eight million, two hundred seventy-one thousand, four hundred fifty-six".