3889512960 has 320 divisors, whose sum is σ = 13604557824. Its totient is φ = 944701440.

The previous prime is 3889512959. The next prime is 3889512989. The reversal of 3889512960 is 692159883.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×3889512960² = 30256622132015923200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 2108 × 1860 × 992.

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 31 ways as a sum of consecutive naturals, for example, 125468145 + ... + 125468175.

Almost surely, 2^3889512960 is an apocalyptic number.

3889512960 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 3889512960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6802278912).

3889512960 is an abundant number, since it is smaller than the sum of its proper divisors (9715044864).

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

3889512960 is an frugal number, since it uses more digits than its factorization.

3889512960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The square root of 3889512960 is about 62365.9599461116. The cubic root of 3889512960 is about 1572.6487749355.

The spelling of 3889512960 in words is "three billion, eight hundred eighty-nine million, five hundred twelve thousand, nine hundred sixty".