364000343130 has 256 divisors, whose sum is σ = 1069215552000. Its totient is φ = 87708192768.

The previous prime is 364000343099. The next prime is 364000343141. The reversal of 364000343130 is 31343000463.

364000343130 is a `hidden beast` number, since 3 + 640 + 0 + 0 + 3 + 4 + 3 + 13 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 364000343094 and 364000343103.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23819052 + ... + 23834328.

It is an arithmetic number, because the mean of its divisors is an integer number (4176623250).

Almost surely, 2^364000343130 is an apocalyptic number.

364000343130 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 364000343130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534607776000).

364000343130 is an abundant number, since it is smaller than the sum of its proper divisors (705215208870).

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

364000343130 is a wasteful number, since it uses less digits than its factorization.

364000343130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15518 (or 15512 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 364000343130 its reverse (31343000463), we get a palindrome (395343343593).

The spelling of 364000343130 in words is "three hundred sixty-four billion, three hundred forty-three thousand, one hundred thirty".