3153664512 has 240 divisors, whose sum is σ = 9551341800. Its totient is φ = 1000636416.

The previous prime is 3153664499. The next prime is 3153664523. The reversal of 3153664512 is 2154663513.

3153664512 is a `hidden beast` number, since 3 + 1 + 5 + 3 + 6 + 645 + 1 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3137792256 + 15872256 = 56016^2 + 3984^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9036114 + ... + 9036462.

Almost surely, 2^3153664512 is an apocalyptic number.

3153664512 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 3153664512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4775670900).

3153664512 is an abundant number, since it is smaller than the sum of its proper divisors (6397677288).

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

3153664512 is a wasteful number, since it uses less digits than its factorization.

3153664512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 444 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 3153664512 is about 56157.4973801362. The cubic root of 3153664512 is about 1466.4654328134.

Subtracting from 3153664512 its reverse (2154663513), we obtain a palindrome (999000999).

It can be divided in two parts, 3153664 and 512, that added together give a square (3154176 = 1776²).

The spelling of 3153664512 in words is "three billion, one hundred fifty-three million, six hundred sixty-four thousand, five hundred twelve".