38913950638080 has 2016 divisors, whose sum is σ = 165108701800224. Its totient is φ = 8764746891264.

The previous prime is 38913950638067. The next prime is 38913950638109. The reversal of 38913950638080 is 8083605931983.

38913950638080 is a `hidden beast` number, since 3 + 8 + 9 + 13 + 9 + 506 + 38 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 38913950637999 and 38913950638017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35602882014 + ... + 35602883106.

It is an arithmetic number, because the mean of its divisors is an integer number (81899157639).

Almost surely, 2^{38913950638080} is an apocalyptic number.

38913950638080 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 38913950638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82554350900112).

38913950638080 is an abundant number, since it is smaller than the sum of its proper divisors (126194751162144).

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

38913950638080 is an equidigital number, since it uses as much as digits as its factorization.

38913950638080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 38913950638080 in words is "thirty-eight trillion, nine hundred thirteen billion, nine hundred fifty million, six hundred thirty-eight thousand, eighty".