36824101020 has 432 divisors, whose sum is σ = 136698045120. Its totient is φ = 7857616896.

The previous prime is 36824101003. The next prime is 36824101021. The reversal of 36824101020 is 2010142863.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36824101021) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33204226 + ... + 33205334.

It is an arithmetic number, because the mean of its divisors is an integer number (316430660).

Almost surely, 2^36824101020 is an apocalyptic number.

36824101020 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 36824101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68349022560).

36824101020 is an abundant number, since it is smaller than the sum of its proper divisors (99873944100).

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

36824101020 is a wasteful number, since it uses less digits than its factorization.

36824101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 36824101020 its reverse (2010142863), we get a palindrome (38834243883).

The spelling of 36824101020 in words is "thirty-six billion, eight hundred twenty-four million, one hundred one thousand, twenty".