3135431351304 has 192 divisors, whose sum is σ = 10289098535040. Its totient is φ = 842048686080.

The previous prime is 3135431351257. The next prime is 3135431351383. The reversal of 3135431351304 is 4031531345313.

It is a happy number.

3135431351304 is a `hidden beast` number, since 3 + 1 + 35 + 4 + 313 + 5 + 1 + 304 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6386359 + ... + 6859769.

It is an arithmetic number, because the mean of its divisors is an integer number (53589054870).

Almost surely, 2^{3135431351304} is an apocalyptic number.

3135431351304 is a gapful number since it is divisible by the number (34) 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 3135431351304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5144549267520).

3135431351304 is an abundant number, since it is smaller than the sum of its proper divisors (7153667183736).

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

3135431351304 is a wasteful number, since it uses less digits than its factorization.

3135431351304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474220 (or 474213 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 3135431351304 its reverse (4031531345313), we get a palindrome (7166962696617).

The spelling of 3135431351304 in words is "three trillion, one hundred thirty-five billion, four hundred thirty-one million, three hundred fifty-one thousand, three hundred four".