36838615034880 has 3520 divisors, whose sum is σ = 153396323942400. Its totient is φ = 8403275612160.

The previous prime is 36838615034839. The next prime is 36838615034887. The reversal of 36838615034880 is 8843051683863.

It is a happy number.

36838615034880 is a `hidden beast` number, since 3 + 6 + 8 + 3 + 8 + 6 + 1 + 503 + 48 + 80 = 666.

It is a super-2 number, since 2×36838615034880² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (36838615034887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 443838735319 + ... + 443838735401.

It is an arithmetic number, because the mean of its divisors is an integer number (43578501120).

Almost surely, 2^{36838615034880} is an apocalyptic number.

36838615034880 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 36838615034880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76698161971200).

36838615034880 is an abundant number, since it is smaller than the sum of its proper divisors (116557708907520).

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

36838615034880 is a wasteful number, since it uses less digits than its factorization.

36838615034880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 36838615034880 in words is "thirty-six trillion, eight hundred thirty-eight billion, six hundred fifteen million, thirty-four thousand, eight hundred eighty".