3002164000 has 288 divisors, whose sum is σ = 8431952256. Its totient is φ = 1041600000.

The previous prime is 3002163991. The next prime is 3002164003. The reversal of 3002164000 is 4612003.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (3002164003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42283965 + ... + 42284035.

It is an arithmetic number, because the mean of its divisors is an integer number (29277612).

Almost surely, 2^3002164000 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 3002164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4215976128).

3002164000 is an abundant number, since it is smaller than the sum of its proper divisors (5429788256).

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

3002164000 is a wasteful number, since it uses less digits than its factorization.

3002164000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3002164000 is about 54792.0067163085. The cubic root of 3002164000 is about 1442.5962678559.

Adding to 3002164000 its reverse (4612003), we get a palindrome (3006776003).

The spelling of 3002164000 in words is "three billion, two million, one hundred sixty-four thousand".