3006164032 has 56 divisors (see below), whose sum is σ = 6234598656. Its totient is φ = 1435450368.

The previous prime is 3006163967. The next prime is 3006164071. The reversal of 3006164032 is 2304616003.

It is a junction number, because it is equal to n+sod(n) for n = 3006163988 and 3006164006.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1260313 + ... + 1262695.

Almost surely, 2^3006164032 is an apocalyptic number.

3006164032 is a gapful number since it is divisible by the number (32) 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 3006164032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3117299328).

3006164032 is an abundant number, since it is smaller than the sum of its proper divisors (3228434624).

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

3006164032 is a wasteful number, since it uses less digits than its factorization.

3006164032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3275 (or 3265 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 3006164032 is about 54828.4965323690. The cubic root of 3006164032 is about 1443.2366803853.

The spelling of 3006164032 in words is "three billion, six million, one hundred sixty-four thousand, thirty-two".