39649978368 has 864 divisors, whose sum is σ = 157011734880. Its totient is φ = 9475522560.

The previous prime is 39649978331. The next prime is 39649978387. The reversal of 39649978368 is 86387994693.

39649978368 is a `hidden beast` number, since 3 + 9 + 6 + 499 + 78 + 3 + 68 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 39649978296 and 39649978305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 129152871 + ... + 129153177.

It is an arithmetic number, because the mean of its divisors is an integer number (181726545).

Almost surely, 2^39649978368 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 39649978368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78505867440).

39649978368 is an abundant number, since it is smaller than the sum of its proper divisors (117361756512).

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

39649978368 is a wasteful number, since it uses less digits than its factorization.

39649978368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 343 counting only the distinct ones).

The product of its digits is 423263232, while the sum is 72.

The spelling of 39649978368 in words is "thirty-nine billion, six hundred forty-nine million, nine hundred seventy-eight thousand, three hundred sixty-eight".