3968129520 has 80 divisors (see below), whose sum is σ = 13668009120. Its totient is φ = 1058167296.

The previous prime is 3968129411. The next prime is 3968129521. The reversal of 3968129520 is 259218693.

3968129520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3968129521) 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, 916389 + ... + 920708.

It is an arithmetic number, because the mean of its divisors is an integer number (170850114).

Almost surely, 2^3968129520 is an apocalyptic number.

3968129520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3968129520 is an abundant number, since it is smaller than the sum of its proper divisors (9699879600).

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

3968129520 is a wasteful number, since it uses less digits than its factorization.

3968129520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1837119 (or 1837107 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 3968129520 is about 62993.0910497334. The cubic root of 3968129520 is about 1583.1738690248.

The spelling of 3968129520 in words is "three billion, nine hundred sixty-eight million, one hundred twenty-nine thousand, five hundred twenty".