3968842752 has 176 divisors, whose sum is σ = 13433560320. Its totient is φ = 1133899776.

The previous prime is 3968842751. The next prime is 3968842781. The reversal of 3968842752 is 2572488693.

3968842752 is a `hidden beast` number, since 3 + 96 + 88 + 427 + 52 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3968842751) 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, 183283 + ... + 203789.

Almost surely, 2^3968842752 is an apocalyptic number.

3968842752 is a gapful number since it is divisible by the number (32) 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 3968842752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6716780160).

3968842752 is an abundant number, since it is smaller than the sum of its proper divisors (9464717568).

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

3968842752 is a wasteful number, since it uses less digits than its factorization.

3968842752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20543 (or 20519 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 3968842752 is about 62998.7519876386. The cubic root of 3968842752 is about 1583.2687166194.

The spelling of 3968842752 in words is "three billion, nine hundred sixty-eight million, eight hundred forty-two thousand, seven hundred fifty-two".