38854883664 has 480 divisors, whose sum is σ = 125750237184. Its totient is φ = 11127029760.

The previous prime is 38854883657. The next prime is 38854883671. The reversal of 38854883664 is 46638845883.

38854883664 is a `hidden beast` number, since 3 + 8 + 8 + 548 + 83 + 6 + 6 + 4 = 666.

38854883664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38854883657) and next prime (38854883671).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 197232814 + ... + 197233010.

Almost surely, 2^38854883664 is an apocalyptic number.

38854883664 is a gapful number since it is divisible by the number (34) 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 38854883664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62875118592).

38854883664 is an abundant number, since it is smaller than the sum of its proper divisors (86895353520).

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

38854883664 is a wasteful number, since it uses less digits than its factorization.

38854883664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 386 counting only the distinct ones).

The product of its digits is 106168320, while the sum is 63.

The spelling of 38854883664 in words is "thirty-eight billion, eight hundred fifty-four million, eight hundred eighty-three thousand, six hundred sixty-four".