3648947456 has 144 divisors (see below), whose sum is σ = 9615957120. Its totient is φ = 1337917440.

The previous prime is 3648947429. The next prime is 3648947459. The reversal of 3648947456 is 6547498463.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3648947459) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 329660 + ... + 340548.

It is an arithmetic number, because the mean of its divisors is an integer number (66777480).

Almost surely, 2^3648947456 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 3648947456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4807978560).

3648947456 is an abundant number, since it is smaller than the sum of its proper divisors (5967009664).

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

3648947456 is a wasteful number, since it uses less digits than its factorization.

3648947456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10940 (or 10926 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 56.

The square root of 3648947456 is about 60406.5183237703. The cubic root of 3648947456 is about 1539.5337116431.

The spelling of 3648947456 in words is "three billion, six hundred forty-eight million, nine hundred forty-seven thousand, four hundred fifty-six".