3164140000 has 240 divisors, whose sum is σ = 9026585568. Its totient is φ = 1069056000.

The previous prime is 3164139991. The next prime is 3164140003. The reversal of 3164140000 is 414613.

It is a happy number.

3164140000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 3164140000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3164140003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13579884 + ... + 13580116.

Almost surely, 2^3164140000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3164140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4513292784).

3164140000 is an abundant number, since it is smaller than the sum of its proper divisors (5862445568).

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

3164140000 is an equidigital number, since it uses as much as digits as its factorization.

3164140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 3164140000 is about 56250.6888846706. The cubic root of 3164140000 is about 1468.0873516019.

Adding to 3164140000 its reverse (414613), we get a palindrome (3164554613).

The spelling of 3164140000 in words is "three billion, one hundred sixty-four million, one hundred forty thousand".