3960648448 has 72 divisors (see below), whose sum is σ = 8154358128. Its totient is φ = 1919004672.

The previous prime is 3960648437. The next prime is 3960648463. The reversal of 3960648448 is 8448460693.

It is a happy number.

It is a super-2 number, since 2×3960648448² = 31373472257289617408, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3960648395 and 3960648404.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1124386 + ... + 1127902.

It is an arithmetic number, because the mean of its divisors is an integer number (113254974).

Almost surely, 2^3960648448 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 3960648448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4077179064).

3960648448 is an abundant number, since it is smaller than the sum of its proper divisors (4193709680).

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

3960648448 is an equidigital number, since it uses as much as digits as its factorization.

3960648448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3669 (or 3655 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 52.

The square root of 3960648448 is about 62933.6829368821. The cubic root of 3960648448 is about 1582.1783295674.

The spelling of 3960648448 in words is "three billion, nine hundred sixty million, six hundred forty-eight thousand, four hundred forty-eight".