3137648384 has 144 divisors (see below), whose sum is σ = 7376060160. Its totient is φ = 1318256640.

The previous prime is 3137648383. The next prime is 3137648441. The reversal of 3137648384 is 4838467313.

It is a super-2 number, since 2×3137648384² = 19689674763235622912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3137648383) 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 15 ways as a sum of consecutive naturals, for example, 1752962 + ... + 1754750.

It is an arithmetic number, because the mean of its divisors is an integer number (51222640).

Almost surely, 2^3137648384 is an apocalyptic number.

3137648384 is a gapful number since it is divisible by the number (34) 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 3137648384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3688030080).

3137648384 is an abundant number, since it is smaller than the sum of its proper divisors (4238411776).

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

3137648384 is a wasteful number, since it uses less digits than its factorization.

3137648384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 1852 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 47.

The square root of 3137648384 is about 56014.7157807660. The cubic root of 3137648384 is about 1463.9786991635.

The spelling of 3137648384 in words is "three billion, one hundred thirty-seven million, six hundred forty-eight thousand, three hundred eighty-four".