3164984928 has 480 divisors, whose sum is σ = 11662092288. Its totient is φ = 821145600.

The previous prime is 3164984917. The next prime is 3164984947. The reversal of 3164984928 is 8294894613.

3164984928 is a `hidden beast` number, since 3 + 1 + 64 + 98 + 492 + 8 = 666.

3164984928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9561723 + ... + 9562053.

Almost surely, 2^3164984928 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 3164984928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5831046144).

3164984928 is an abundant number, since it is smaller than the sum of its proper divisors (8497107360).

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

3164984928 is a wasteful number, since it uses less digits than its factorization.

3164984928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 391 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 3164984928 is about 56258.1987624915. The cubic root of 3164984928 is about 1468.2180156175.

The spelling of 3164984928 in words is "three billion, one hundred sixty-four million, nine hundred eighty-four thousand, nine hundred twenty-eight".