3133480032 has 96 divisors (see below), whose sum is σ = 9264699360. Its totient is φ = 1030164480.

The previous prime is 3133480027. The next prime is 3133480037. The reversal of 3133480032 is 2300843313.

3133480032 is a `hidden beast` number, since 313 + 348 + 0 + 0 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3133480027) and next prime (3133480037).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3133480032² = 19637394221885442048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3133479978 and 3133480005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133480037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38232 + ... + 87912.

It is an arithmetic number, because the mean of its divisors is an integer number (96507285).

Almost surely, 2^3133480032 is an apocalyptic number.

3133480032 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 3133480032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4632349680).

3133480032 is an abundant number, since it is smaller than the sum of its proper divisors (6131219328).

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

3133480032 is a wasteful number, since it uses less digits than its factorization.

3133480032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49773 (or 49759 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3133480032 is about 55977.4957639228. The cubic root of 3133480032 is about 1463.3301154563.

The spelling of 3133480032 in words is "three billion, one hundred thirty-three million, four hundred eighty thousand, thirty-two".