3137892912 has 640 divisors, whose sum is σ = 12342067200. Its totient is φ = 738201600.

The previous prime is 3137892859. The next prime is 3137892917. The reversal of 3137892912 is 2192987313.

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 (3137892917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17530039 + ... + 17530217.

It is an arithmetic number, because the mean of its divisors is an integer number (19284480).

Almost surely, 2^3137892912 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 3137892912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6171033600).

3137892912 is an abundant number, since it is smaller than the sum of its proper divisors (9204174288).

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

3137892912 is a wasteful number, since it uses less digits than its factorization.

3137892912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 250 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 3137892912 is about 56016.8984503783. The cubic root of 3137892912 is about 1464.0167291827.

The spelling of 3137892912 in words is "three billion, one hundred thirty-seven million, eight hundred ninety-two thousand, nine hundred twelve".