3989157120 has 432 divisors, whose sum is σ = 15351094080. Its totient is φ = 980508672.

The previous prime is 3989157047. The next prime is 3989157163. The reversal of 3989157120 is 217519893.

3989157120 is a `hidden beast` number, since 398 + 91 + 57 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5840299 + ... + 5840981.

It is an arithmetic number, because the mean of its divisors is an integer number (35534940).

Almost surely, 2^3989157120 is an apocalyptic number.

3989157120 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 3989157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7675547040).

3989157120 is an abundant number, since it is smaller than the sum of its proper divisors (11361936960).

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

3989157120 is a wasteful number, since it uses less digits than its factorization.

3989157120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 3989157120 is about 63159.7745404462. The cubic root of 3989157120 is about 1585.9654207278.

The spelling of 3989157120 in words is "three billion, nine hundred eighty-nine million, one hundred fifty-seven thousand, one hundred twenty".