36057312000 has 432 divisors, whose sum is σ = 134579102112. Its totient is φ = 9613209600.

The previous prime is 36057311999. The next prime is 36057312059. The reversal of 36057312000 is 21375063.

It is a happy number.

36057312000 is a `hidden beast` number, since 3 + 605 + 7 + 31 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7773682 + ... + 7778318.

Almost surely, 2^36057312000 is an apocalyptic number.

36057312000 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 36057312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67289551056).

36057312000 is an abundant number, since it is smaller than the sum of its proper divisors (98521790112).

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

36057312000 is an frugal number, since it uses more digits than its factorization.

36057312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4683 (or 4647 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

Adding to 36057312000 its reverse (21375063), we get a palindrome (36078687063).

The spelling of 36057312000 in words is "thirty-six billion, fifty-seven million, three hundred twelve thousand".