3969608048640 has 896 divisors, whose sum is σ = 15724691740800. Its totient is φ = 943340912640.

The previous prime is 3969608048599. The next prime is 3969608048663. The reversal of 3969608048640 is 468408069693.

3969608048640 is a `hidden beast` number, since 3 + 96 + 9 + 60 + 8 + 0 + 486 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 416927080 + ... + 416936600.

It is an arithmetic number, because the mean of its divisors is an integer number (17549879175).

Almost surely, 2^{3969608048640} is an apocalyptic number.

3969608048640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3969608048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7862345870400).

3969608048640 is an abundant number, since it is smaller than the sum of its proper divisors (11755083692160).

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

3969608048640 is a wasteful number, since it uses less digits than its factorization.

3969608048640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9603 (or 9573 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 3969608048640 in words is "three trillion, nine hundred sixty-nine billion, six hundred eight million, forty-eight thousand, six hundred forty".