3989905920 has 960 divisors, whose sum is σ = 18660305664. Its totient is φ = 760872960.

The previous prime is 3989905903. The next prime is 3989905921. The reversal of 3989905920 is 295099893.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3989905921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23062954 + ... + 23063126.

Almost surely, 2^3989905920 is an apocalyptic number.

3989905920 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 3989905920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9330152832).

3989905920 is an abundant number, since it is smaller than the sum of its proper divisors (14670399744).

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

3989905920 is a wasteful number, since it uses less digits than its factorization.

3989905920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The square root of 3989905920 is about 63165.7020858630. The cubic root of 3989905920 is about 1586.0646477552.

It can be divided in two parts, 3989 and 905920, that added together give a palindrome (909909).

The spelling of 3989905920 in words is "three billion, nine hundred eighty-nine million, nine hundred five thousand, nine hundred twenty".