38377361721888 has 432 divisors, whose sum is σ = 131780453261184. Its totient is φ = 10555723422720.

The previous prime is 38377361721833. The next prime is 38377361721929. The reversal of 38377361721888 is 88812716377383.

38377361721888 is a `hidden beast` number, since 3 + 8 + 377 + 3 + 6 + 1 + 72 + 188 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39984831 + ... + 40933377.

It is an arithmetic number, because the mean of its divisors is an integer number (305047345512).

Almost surely, 2^{38377361721888} 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 38377361721888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65890226630592).

38377361721888 is an abundant number, since it is smaller than the sum of its proper divisors (93403091539296).

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

38377361721888 is a wasteful number, since it uses less digits than its factorization.

38377361721888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948685 (or 948667 counting only the distinct ones).

The product of its digits is 455196672, while the sum is 72.

The spelling of 38377361721888 in words is "thirty-eight trillion, three hundred seventy-seven billion, three hundred sixty-one million, seven hundred twenty-one thousand, eight hundred eighty-eight".