36097838028 has 576 divisors, whose sum is σ = 121878220800. Its totient is φ = 9170703360.

The previous prime is 36097837969. The next prime is 36097838081. The reversal of 36097838028 is 82083879063.

36097838028 is a `hidden beast` number, since 3 + 609 + 7 + 8 + 3 + 8 + 0 + 28 = 666.

36097838028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 115328400 + ... + 115328712.

Almost surely, 2^36097838028 is an apocalyptic number.

36097838028 is a gapful number since it is divisible by the number (38) 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 36097838028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60939110400).

36097838028 is an abundant number, since it is smaller than the sum of its proper divisors (85780382772).

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

36097838028 is a wasteful number, since it uses less digits than its factorization.

36097838028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 36097838028 in words is "thirty-six billion, ninety-seven million, eight hundred thirty-eight thousand, twenty-eight".