3131648 has 36 divisors (see below), whose sum is σ = 6739068. Its totient is φ = 1443840.

The previous prime is 3131641. The next prime is 3131669. The reversal of 3131648 is 8461313.

It can be written as a sum of positive squares in 2 ways, for example, as 1149184 + 1982464 = 1072^2 + 1408^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (3131641) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2858 + ... + 3798.

Almost surely, 2^3131648 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 3131648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3369534).

3131648 is an abundant number, since it is smaller than the sum of its proper divisors (3607420).

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

3131648 is an equidigital number, since it uses as much as digits as its factorization.

3131648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 956 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 3131648 is about 1769.6462923421. The cubic root of 3131648 is about 146.3044874530.

The spelling of 3131648 in words is "three million, one hundred thirty-one thousand, six hundred forty-eight".