3139164000 has 288 divisors, whose sum is σ = 12733471296. Its totient is φ = 717465600.

The previous prime is 3139163941. The next prime is 3139164013. The reversal of 3139164000 is 4619313.

3139164000 is a `hidden beast` number, since 3 + 13 + 9 + 1 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 245772 + ... + 258228.

It is an arithmetic number, because the mean of its divisors is an integer number (44213442).

Almost surely, 2^3139164000 is an apocalyptic number.

3139164000 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 3139164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6366735648).

3139164000 is an abundant number, since it is smaller than the sum of its proper divisors (9594307296).

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

3139164000 is a wasteful number, since it uses less digits than its factorization.

3139164000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12495 (or 12474 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 3139164000 is about 56028.2428780343. The cubic root of 3139164000 is about 1464.2143822933.

The spelling of 3139164000 in words is "three billion, one hundred thirty-nine million, one hundred sixty-four thousand".