3129962112 has 192 divisors, whose sum is σ = 9809748000. Its totient is φ = 954132480.

The previous prime is 3129962111. The next prime is 3129962113. The reversal of 3129962112 is 2112699213.

3129962112 is a `hidden beast` number, since 3 + 1 + 29 + 9 + 621 + 1 + 2 = 666.

3129962112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3129962111) and next prime (3129962113).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (3129962111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 632287 + ... + 637217.

Almost surely, 2^3129962112 is an apocalyptic number.

3129962112 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 3129962112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4904874000).

3129962112 is an abundant number, since it is smaller than the sum of its proper divisors (6679785888).

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

3129962112 is a wasteful number, since it uses less digits than its factorization.

3129962112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4999 (or 4984 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 3129962112 is about 55946.0643119782. The cubic root of 3129962112 is about 1462.7822894060.

The spelling of 3129962112 in words is "three billion, one hundred twenty-nine million, nine hundred sixty-two thousand, one hundred twelve".