3184152972 has 384 divisors, whose sum is σ = 10924720128. Its totient is φ = 693964800.

The previous prime is 3184152971. The next prime is 3184152997. The reversal of 3184152972 is 2792514813.

3184152972 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3184152971) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6330073 + ... + 6330575.

It is an arithmetic number, because the mean of its divisors is an integer number (28449792).

Almost surely, 2^3184152972 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 3184152972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5462360064).

3184152972 is an abundant number, since it is smaller than the sum of its proper divisors (7740567156).

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

3184152972 is a wasteful number, since it uses less digits than its factorization.

3184152972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 587 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 3184152972 is about 56428.2993895793. The cubic root of 3184152972 is about 1471.1760333046.

The spelling of 3184152972 in words is "three billion, one hundred eighty-four million, one hundred fifty-two thousand, nine hundred seventy-two".