3138960000 has 640 divisors, whose sum is σ = 12044894400. Its totient is φ = 716800000.

The previous prime is 3138959987. The next prime is 3138960007. The reversal of 3138960000 is 698313.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 3138960000.

It is not an unprimeable number, because it can be changed into a prime (3138960007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 76559980 + ... + 76560020.

Almost surely, 2^3138960000 is an apocalyptic number.

3138960000 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 3138960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6022447200).

3138960000 is an abundant number, since it is smaller than the sum of its proper divisors (8905934400).

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

3138960000 is a wasteful number, since it uses less digits than its factorization.

3138960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 3138960000 is about 56026.4223380362. The cubic root of 3138960000 is about 1464.1826640604.

The spelling of 3138960000 in words is "three billion, one hundred thirty-eight million, nine hundred sixty thousand".