3152315520 has 192 divisors, whose sum is σ = 10961379000. Its totient is φ = 834748416.

The previous prime is 3152315519. The next prime is 3152315539. The reversal of 3152315520 is 255132513.

It is a happy number.

3152315520 is a `hidden beast` number, since 31 + 52 + 31 + 552 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1079516736 + 2072798784 = 32856^2 + 45528^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 856404 + ... + 860076.

Almost surely, 2^3152315520 is an apocalyptic number.

3152315520 is a gapful number since it is divisible by the number (30) 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 3152315520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5480689500).

3152315520 is an abundant number, since it is smaller than the sum of its proper divisors (7809063480).

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

3152315520 is a wasteful number, since it uses less digits than its factorization.

3152315520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3847 (or 3832 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 3152315520 is about 56145.4853038069. The cubic root of 3152315520 is about 1466.2563076021.

The spelling of 3152315520 in words is "three billion, one hundred fifty-two million, three hundred fifteen thousand, five hundred twenty".