3133477872 has 500 divisors, whose sum is σ = 11347075080. Its totient is φ = 832156416.

The previous prime is 3133477871. The next prime is 3133477901. The reversal of 3133477872 is 2787743313.

3133477872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (592704) is a multiple of the sum of its prime divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133477871) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 59122198 + ... + 59122250.

Almost surely, 2^3133477872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3133477872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5673537540).

3133477872 is an abundant number, since it is smaller than the sum of its proper divisors (8213597208).

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

3133477872 is an equidigital number, since it uses as much as digits as its factorization.

3133477872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 84 counting only the distinct ones).

The product of its digits is 592704, while the sum is 45.

The square root of 3133477872 is about 55977.4764704519. The cubic root of 3133477872 is about 1463.3297792174.

The spelling of 3133477872 in words is "three billion, one hundred thirty-three million, four hundred seventy-seven thousand, eight hundred seventy-two".