3137739648 has 128 divisors (see below), whose sum is σ = 9056947200. Its totient is φ = 958832640.

The previous prime is 3137739643. The next prime is 3137739673. The reversal of 3137739648 is 8469377313.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 3137739648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3137739643) 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, 219240 + ... + 233112.

It is an arithmetic number, because the mean of its divisors is an integer number (70757400).

Almost surely, 2^3137739648 is an apocalyptic number.

3137739648 is a gapful number since it is divisible by the number (38) 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 3137739648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4528473600).

3137739648 is an abundant number, since it is smaller than the sum of its proper divisors (5919207552).

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

3137739648 is a wasteful number, since it uses less digits than its factorization.

3137739648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13940 (or 13928 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 51.

The square root of 3137739648 is about 56015.5304179118. The cubic root of 3137739648 is about 1463.9928931543.

The spelling of 3137739648 in words is "three billion, one hundred thirty-seven million, seven hundred thirty-nine thousand, six hundred forty-eight".