36380980731600 has 480 divisors, whose sum is σ = 135168398668800. Its totient is φ = 9283142246400.

The previous prime is 36380980731559. The next prime is 36380980731607. The reversal of 36380980731600 is 613708908363.

36380980731600 is a `hidden beast` number, since 36 + 380 + 9 + 8 + 0 + 73 + 160 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36380980731607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29186724 + ... + 30407676.

It is an arithmetic number, because the mean of its divisors is an integer number (281600830560).

Almost surely, 2^{36380980731600} is an apocalyptic number.

36380980731600 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 36380980731600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67584199334400).

36380980731600 is an abundant number, since it is smaller than the sum of its proper divisors (98787417937200).

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

36380980731600 is a wasteful number, since it uses less digits than its factorization.

36380980731600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221100 (or 1221083 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 36380980731600 in words is "thirty-six trillion, three hundred eighty billion, nine hundred eighty million, seven hundred thirty-one thousand, six hundred".