3132685869840 has 240 divisors, whose sum is σ = 10724292321600. Its totient is φ = 819318094848.

The previous prime is 3132685869823. The next prime is 3132685869857. The reversal of 3132685869840 is 489685862313.

It is a happy number.

3132685869840 is a `hidden beast` number, since 3 + 1 + 3 + 2 + 6 + 8 + 586 + 9 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3132685869823) and next prime (3132685869857).

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10905171 + ... + 11188749.

It is an arithmetic number, because the mean of its divisors is an integer number (44684551340).

Almost surely, 2^{3132685869840} is an apocalyptic number.

3132685869840 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 3132685869840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5362146160800).

3132685869840 is an abundant number, since it is smaller than the sum of its proper divisors (7591606451760).

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

3132685869840 is a wasteful number, since it uses less digits than its factorization.

3132685869840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283894 (or 283885 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 3132685869840 in words is "three trillion, one hundred thirty-two billion, six hundred eighty-five million, eight hundred sixty-nine thousand, eight hundred forty".