3960450560 has 160 divisors (see below), whose sum is σ = 10969735392. Its totient is φ = 1355284480.

The previous prime is 3960450553. The next prime is 3960450563. The reversal of 3960450560 is 650540693.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3960450563) 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, 474584 + ... + 482856.

Almost surely, 2^3960450560 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 3960450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5484867696).

3960450560 is an abundant number, since it is smaller than the sum of its proper divisors (7009284832).

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

3960450560 is a wasteful number, since it uses less digits than its factorization.

3960450560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8324 (or 8308 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 38.

The square root of 3960450560 is about 62932.1107225874. The cubic root of 3960450560 is about 1582.1519787207.

It can be divided in two parts, 3960 and 450560, that multiplied together give a square (1784217600 = 42240²).

The spelling of 3960450560 in words is "three billion, nine hundred sixty million, four hundred fifty thousand, five hundred sixty".