3135304723824 has 480 divisors, whose sum is σ = 11862044113920. Its totient is φ = 749311782912.

The previous prime is 3135304723799. The next prime is 3135304723997. The reversal of 3135304723824 is 4283274035313.

3135304723824 is a `hidden beast` number, since 3 + 1 + 353 + 0 + 47 + 238 + 24 = 666.

It is a super-2 number, since 2×3135304723824² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3135304723824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5452692 + ... + 6000204.

It is an arithmetic number, because the mean of its divisors is an integer number (24712591904).

Almost surely, 2^{3135304723824} 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 3135304723824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5931022056960).

3135304723824 is an abundant number, since it is smaller than the sum of its proper divisors (8726739390096).

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

3135304723824 is a wasteful number, since it uses less digits than its factorization.

3135304723824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547589 (or 547580 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 3135304723824 in words is "three trillion, one hundred thirty-five billion, three hundred four million, seven hundred twenty-three thousand, eight hundred twenty-four".