3135457122930 has 1024 divisors, whose sum is σ = 10162497945600. Its totient is φ = 679311360000.

The previous prime is 3135457122923. The next prime is 3135457122949. The reversal of 3135457122930 is 392217545313.

3135457122930 is a `hidden beast` number, since 3 + 1 + 3 + 54 + 571 + 2 + 29 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 17322967440 + ... + 17322967620.

It is an arithmetic number, because the mean of its divisors is an integer number (9924314400).

Almost surely, 2^{3135457122930} is an apocalyptic number.

3135457122930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3135457122930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5081248972800).

3135457122930 is an abundant number, since it is smaller than the sum of its proper divisors (7027040822670).

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

3135457122930 is a wasteful number, since it uses less digits than its factorization.

3135457122930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 3135457122930 in words is "three trillion, one hundred thirty-five billion, four hundred fifty-seven million, one hundred twenty-two thousand, nine hundred thirty".