36430324128 has 480 divisors, whose sum is σ = 123795568512. Its totient is φ = 10401177600.

The previous prime is 36430324121. The next prime is 36430324153. The reversal of 36430324128 is 82142303463.

36430324128 is a `hidden beast` number, since 3 + 643 + 0 + 3 + 2 + 4 + 1 + 2 + 8 = 666.

It is a super-2 number, since 2×36430324128² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 36430324092 and 36430324101.

It is not an unprimeable number, because it can be changed into a prime (36430324121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 47871268 + ... + 47872028.

Almost surely, 2^36430324128 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 36430324128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61897784256).

36430324128 is an abundant number, since it is smaller than the sum of its proper divisors (87365244384).

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

36430324128 is a wasteful number, since it uses less digits than its factorization.

36430324128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 36430324128 in words is "thirty-six billion, four hundred thirty million, three hundred twenty-four thousand, one hundred twenty-eight".