39481642368 has 384 divisors, whose sum is σ = 134516229120. Its totient is φ = 10881589248.

The previous prime is 39481642301. The next prime is 39481642391. The reversal of 39481642368 is 86324618493.

39481642368 is a `hidden beast` number, since 394 + 8 + 16 + 4 + 236 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27666871 + ... + 27668297.

It is an arithmetic number, because the mean of its divisors is an integer number (350302680).

Almost surely, 2^39481642368 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 39481642368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67258114560).

39481642368 is an abundant number, since it is smaller than the sum of its proper divisors (95034586752).

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

39481642368 is a wasteful number, since it uses less digits than its factorization.

39481642368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574 (or 1559 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 39481642368 in words is "thirty-nine billion, four hundred eighty-one million, six hundred forty-two thousand, three hundred sixty-eight".