3889116000 has 1152 divisors, whose sum is σ = 18250831872. Its totient is φ = 760320000.

The previous prime is 3889115987. The next prime is 3889116013. The reversal of 3889116000 is 6119883.

3889116000 is a `hidden beast` number, since 38 + 8 + 9 + 11 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3889115987) and next prime (3889116013).

It is a super-2 number, since 2×3889116000² = 30250446522912000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 63755970 + ... + 63756030.

It is an arithmetic number, because the mean of its divisors is an integer number (15842736).

Almost surely, 2^3889116000 is an apocalyptic number.

3889116000 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 3889116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9125415936).

3889116000 is an abundant number, since it is smaller than the sum of its proper divisors (14361715872).

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

3889116000 is a wasteful number, since it uses less digits than its factorization.

3889116000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 3889116000 is about 62362.7773595756. Note that the first 3 decimals coincide. The cubic root of 3889116000 is about 1572.5952721017.

The spelling of 3889116000 in words is "three billion, eight hundred eighty-nine million, one hundred sixteen thousand".