3133482000 has 320 divisors, whose sum is σ = 11122645248. Its totient is φ = 752640000.

The previous prime is 3133481993. The next prime is 3133482067. The reversal of 3133482000 is 2843313.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13001880 + ... + 13002120.

Almost surely, 2^3133482000 is an apocalyptic number.

3133482000 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 3133482000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5561322624).

3133482000 is an abundant number, since it is smaller than the sum of its proper divisors (7989163248).

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

3133482000 is a wasteful number, since it uses less digits than its factorization.

3133482000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3133482000 is about 55977.5133424128. The cubic root of 3133482000 is about 1463.3304218072.

The spelling of 3133482000 in words is "three billion, one hundred thirty-three million, four hundred eighty-two thousand".