36038319120 has 560 divisors, whose sum is σ = 133376499072. Its totient is φ = 9032601600.

The previous prime is 36038319101. The next prime is 36038319127. The reversal of 36038319120 is 2191383063.

36038319120 is a `hidden beast` number, since 3 + 603 + 8 + 31 + 9 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36038319127) 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 111 ways as a sum of consecutive naturals, for example, 89870920 + ... + 89871320.

Almost surely, 2^36038319120 is an apocalyptic number.

36038319120 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 36038319120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66688249536).

36038319120 is an abundant number, since it is smaller than the sum of its proper divisors (97338179952).

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

36038319120 is a wasteful number, since it uses less digits than its factorization.

36038319120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 36038319120 in words is "thirty-six billion, thirty-eight million, three hundred nineteen thousand, one hundred twenty".