3969243648 has 240 divisors, whose sum is σ = 12097621536. Its totient is φ = 1298903040.

The previous prime is 3969243643. The next prime is 3969243701. The reversal of 3969243648 is 8463429693.

3969243648 is a `hidden beast` number, since 396 + 9 + 243 + 6 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3969243594 and 3969243603.

It is not an unprimeable number, because it can be changed into a prime (3969243643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7589115 + ... + 7589637.

Almost surely, 2^3969243648 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 3969243648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048810768).

3969243648 is an abundant number, since it is smaller than the sum of its proper divisors (8128377888).

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

3969243648 is an frugal number, since it uses more digits than its factorization.

3969243648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 589 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The square root of 3969243648 is about 63001.9336846100. The cubic root of 3969243648 is about 1583.3220239069.

The spelling of 3969243648 in words is "three billion, nine hundred sixty-nine million, two hundred forty-three thousand, six hundred forty-eight".