3968884920 has 1024 divisors, whose sum is σ = 17650483200. Its totient is φ = 686776320.

The previous prime is 3968884879. The next prime is 3968884943. The reversal of 3968884920 is 294888693.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 84444337 + ... + 84444383.

It is an arithmetic number, because the mean of its divisors is an integer number (17236800).

Almost surely, 2^3968884920 is an apocalyptic number.

3968884920 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 3968884920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8825241600).

3968884920 is an abundant number, since it is smaller than the sum of its proper divisors (13681598280).

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

3968884920 is a wasteful number, since it uses less digits than its factorization.

3968884920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 57.

The square root of 3968884920 is about 62999.0866600461. The cubic root of 3968884920 is about 1583.2743238827.

It can be divided in two parts, 3968 and 884920, that added together give a palindrome (888888).

The spelling of 3968884920 in words is "three billion, nine hundred sixty-eight million, eight hundred eighty-four thousand, nine hundred twenty".