3131677440 has 216 divisors, whose sum is σ = 11473364448. Its totient is φ = 785940480.

The previous prime is 3131677421. The next prime is 3131677477. The reversal of 3131677440 is 447761313.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3131677395 and 3131677404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187845 + ... + 203835.

It is an arithmetic number, because the mean of its divisors is an integer number (53117428).

Almost surely, 2^3131677440 is an apocalyptic number.

3131677440 is a gapful number since it is divisible by the number (30) 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 3131677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5736682224).

3131677440 is an abundant number, since it is smaller than the sum of its proper divisors (8341687008).

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

3131677440 is a wasteful number, since it uses less digits than its factorization.

3131677440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16035 (or 16018 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 3131677440 is about 55961.3924058364. The cubic root of 3131677440 is about 1463.0494591141.

The spelling of 3131677440 in words is "three billion, one hundred thirty-one million, six hundred seventy-seven thousand, four hundred forty".