36238189897728 has 1728 divisors, whose sum is σ = 140331786940800. Its totient is φ = 8902532136960.

The previous prime is 36238189897717. The next prime is 36238189897733. The reversal of 36238189897728 is 82779898183263.

36238189897728 is a `hidden beast` number, since 3 + 6 + 2 + 381 + 89 + 8 + 97 + 72 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13608030925 + ... + 13608033587.

It is an arithmetic number, because the mean of its divisors is an integer number (81210524850).

Almost surely, 2^{36238189897728} is an apocalyptic number.

36238189897728 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 36238189897728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70165893470400).

36238189897728 is an abundant number, since it is smaller than the sum of its proper divisors (104093597043072).

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

36238189897728 is a wasteful number, since it uses less digits than its factorization.

36238189897728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798 (or 2768 counting only the distinct ones).

The product of its digits is 3511517184, while the sum is 81.

The spelling of 36238189897728 in words is "thirty-six trillion, two hundred thirty-eight billion, one hundred eighty-nine million, eight hundred ninety-seven thousand, seven hundred twenty-eight".