3968029920 has 192 divisors, whose sum is σ = 13729927680. Its totient is φ = 958814208.

The previous prime is 3968029907. The next prime is 3968029927. The reversal of 3968029920 is 299208693.

It is a super-2 number, since 2×3968029920² = 31490522892030412800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3968029920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3968029927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200302 + ... + 219218.

It is an arithmetic number, because the mean of its divisors is an integer number (71510040).

Almost surely, 2^3968029920 is an apocalyptic number.

3968029920 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 3968029920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6864963840).

3968029920 is an abundant number, since it is smaller than the sum of its proper divisors (9761897760).

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

3968029920 is a wasteful number, since it uses less digits than its factorization.

3968029920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18977 (or 18969 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 3968029920 is about 62992.3004818843. The cubic root of 3968029920 is about 1583.1606230328.

The spelling of 3968029920 in words is "three billion, nine hundred sixty-eight million, twenty-nine thousand, nine hundred twenty".