3131769648 has 160 divisors (see below), whose sum is σ = 9824371200. Its totient is φ = 839208960.

The previous prime is 3131769623. The next prime is 3131769649. The reversal of 3131769648 is 8469671313.

It is a happy number.

It is a super-2 number, since 2×3131769648² = 19615962256268087808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 3131769597 and 3131769606.

It is not an unprimeable number, because it can be changed into a prime (3131769649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1992703 + ... + 1994273.

It is an arithmetic number, because the mean of its divisors is an integer number (61402320).

Almost surely, 2^3131769648 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 3131769648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4912185600).

3131769648 is an abundant number, since it is smaller than the sum of its proper divisors (6692601552).

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

3131769648 is a wasteful number, since it uses less digits than its factorization.

3131769648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955 (or 1949 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The square root of 3131769648 is about 55962.2162534687. The cubic root of 3131769648 is about 1463.0638181429.

The spelling of 3131769648 in words is "three billion, one hundred thirty-one million, seven hundred sixty-nine thousand, six hundred forty-eight".