36129818340 has 864 divisors, whose sum is σ = 146007493632. Its totient is φ = 7338988800.

The previous prime is 36129818323. The next prime is 36129818359. The reversal of 36129818340 is 4381892163.

36129818340 is a `hidden beast` number, since 3 + 6 + 1 + 298 + 18 + 340 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 275800075 + ... + 275800205.

Almost surely, 2^36129818340 is an apocalyptic number.

36129818340 is a gapful number since it is divisible by the number (30) 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 36129818340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73003746816).

36129818340 is an abundant number, since it is smaller than the sum of its proper divisors (109877675292).

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

36129818340 is a wasteful number, since it uses less digits than its factorization.

36129818340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 36129818340 in words is "thirty-six billion, one hundred twenty-nine million, eight hundred eighteen thousand, three hundred forty".