3135925834240 has 80 divisors (see below), whose sum is σ = 7526419798392. Its totient is φ = 1253111169024.

The previous prime is 3135925834157. The next prime is 3135925834259. The reversal of 3135925834240 is 424385295313.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2660134904064 + 475790930176 = 1630992^2 + 689776^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1937992 + ... + 3166648.

Almost surely, 2^{3135925834240} 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 3135925834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3763209899196).

3135925834240 is an abundant number, since it is smaller than the sum of its proper divisors (4390493964152).

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

3135925834240 is an equidigital number, since it uses as much as digits as its factorization.

3135925834240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229677 (or 1229661 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 49.

The spelling of 3135925834240 in words is "three trillion, one hundred thirty-five billion, nine hundred twenty-five million, eight hundred thirty-four thousand, two hundred forty".