39012081104304 has 1440 divisors, whose sum is σ = 147566227032000. Its totient is φ = 9827069091840.

The previous prime is 39012081104299. The next prime is 39012081104327. The reversal of 39012081104304 is 40340118021093.

39012081104304 is a `hidden beast` number, since 3 + 9 + 0 + 1 + 208 + 1 + 10 + 430 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12081782562 + ... + 12081785790.

It is an arithmetic number, because the mean of its divisors is an integer number (102476546550).

Almost surely, 2^{39012081104304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39012081104304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73783113516000).

39012081104304 is an abundant number, since it is smaller than the sum of its proper divisors (108554145927696).

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

39012081104304 is a wasteful number, since it uses less digits than its factorization.

39012081104304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3424 (or 3394 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 39012081104304 its reverse (40340118021093), we get a palindrome (79352199125397).

The spelling of 39012081104304 in words is "thirty-nine trillion, twelve billion, eighty-one million, one hundred four thousand, three hundred four".