38479458816000 has 624 divisors, whose sum is σ = 138913394330880. Its totient is φ = 10246466764800.

The previous prime is 38479458815999. The next prime is 38479458816017. The reversal of 38479458816000 is 61885497483.

38479458816000 is a `hidden beast` number, since 3 + 8 + 47 + 9 + 4 + 588 + 1 + 6 + 0 + 0 + 0 = 666.

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, 3423738381 + ... + 3423749619.

It is an arithmetic number, because the mean of its divisors is an integer number (222617619120).

Almost surely, 2^{38479458816000} is an apocalyptic number.

38479458816000 is a gapful number since it is divisible by the number (30) 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 38479458816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69456697165440).

38479458816000 is an abundant number, since it is smaller than the sum of its proper divisors (100433935514880).

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

38479458816000 is a wasteful number, since it uses less digits than its factorization.

38479458816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12027 (or 11992 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 38479458816000 in words is "thirty-eight trillion, four hundred seventy-nine billion, four hundred fifty-eight million, eight hundred sixteen thousand".