39484435834368 has 960 divisors, whose sum is σ = 138603998776320. Its totient is φ = 10871304192000.

The previous prime is 39484435834367. The next prime is 39484435834429. The reversal of 39484435834368 is 86343853448493.

39484435834368 is a `hidden beast` number, since 3 + 9 + 4 + 8 + 4 + 4 + 3 + 583 + 4 + 36 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 39484435834296 and 39484435834305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39484435834367) 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, 26131326733 + ... + 26131328243.

It is an arithmetic number, because the mean of its divisors is an integer number (144379165392).

Almost surely, 2^{39484435834368} 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 39484435834368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69301999388160).

39484435834368 is an abundant number, since it is smaller than the sum of its proper divisors (99119562941952).

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

39484435834368 is a wasteful number, since it uses less digits than its factorization.

39484435834368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 1835 counting only the distinct ones).

The product of its digits is 2866544640, while the sum is 72.

The spelling of 39484435834368 in words is "thirty-nine trillion, four hundred eighty-four billion, four hundred thirty-five million, eight hundred thirty-four thousand, three hundred sixty-eight".