3133463520 has 192 divisors, whose sum is σ = 10801486080. Its totient is φ = 757248000.

The previous prime is 3133463513. The next prime is 3133463533. The reversal of 3133463520 is 253643313.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2158795 + ... + 2160245.

It is an arithmetic number, because the mean of its divisors is an integer number (56257740).

Almost surely, 2^3133463520 is an apocalyptic number.

3133463520 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 3133463520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5400743040).

3133463520 is an abundant number, since it is smaller than the sum of its proper divisors (7668022560).

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

3133463520 is a wasteful number, since it uses less digits than its factorization.

3133463520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 30.

The square root of 3133463520 is about 55977.3482758875. The cubic root of 3133463520 is about 1463.3275450927.

The spelling of 3133463520 in words is "three billion, one hundred thirty-three million, four hundred sixty-three thousand, five hundred twenty".