38894829861888 has 1408 divisors, whose sum is σ = 156038765783040. Its totient is φ = 9242164592640.

The previous prime is 38894829861799. The next prime is 38894829862003. The reversal of 38894829861888 is 88816892849883.

38894829861888 is a `hidden beast` number, since 38 + 8 + 9 + 482 + 9 + 8 + 6 + 18 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

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 = 38894829861798 and 38894829861807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3127342006 + ... + 3127354442.

Almost surely, 2^{38894829861888} 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 38894829861888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78019382891520).

38894829861888 is an abundant number, since it is smaller than the sum of its proper divisors (117143935921152).

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

38894829861888 is a wasteful number, since it uses less digits than its factorization.

38894829861888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12610 (or 12586 counting only the distinct ones).

The product of its digits is 24461180928, while the sum is 90.

The spelling of 38894829861888 in words is "thirty-eight trillion, eight hundred ninety-four billion, eight hundred twenty-nine million, eight hundred sixty-one thousand, eight hundred eighty-eight".