38855208712320 has 3584 divisors, whose sum is σ = 188291398901760. Its totient is φ = 7401059942400.

The previous prime is 38855208712303. The next prime is 38855208712373. The reversal of 38855208712320 is 2321780255883.

38855208712320 is a `hidden beast` number, since 3 + 8 + 8 + 5 + 520 + 8 + 71 + 23 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 126564197607 + ... + 126564197913.

It is an arithmetic number, because the mean of its divisors is an integer number (52536662640).

Almost surely, 2^{38855208712320} is an apocalyptic number.

38855208712320 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 38855208712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94145699450880).

38855208712320 is an abundant number, since it is smaller than the sum of its proper divisors (149436190189440).

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

38855208712320 is a wasteful number, since it uses less digits than its factorization.

38855208712320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 38855208712320 in words is "thirty-eight trillion, eight hundred fifty-five billion, two hundred eight million, seven hundred twelve thousand, three hundred twenty".