38880434160 has 400 divisors, whose sum is σ = 145190707200. Its totient is φ = 9612006912.

The previous prime is 38880434147. The next prime is 38880434161. The reversal of 38880434160 is 6143408883.

38880434160 is a `hidden beast` number, since 3 + 88 + 80 + 434 + 1 + 60 = 666.

38880434160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38880434161) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5783281 + ... + 5789999.

It is an arithmetic number, because the mean of its divisors is an integer number (362976768).

Almost surely, 2^38880434160 is an apocalyptic number.

38880434160 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 38880434160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72595353600).

38880434160 is an abundant number, since it is smaller than the sum of its proper divisors (106310273040).

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

38880434160 is a wasteful number, since it uses less digits than its factorization.

38880434160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6810 (or 6795 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 38880434160 in words is "thirty-eight billion, eight hundred eighty million, four hundred thirty-four thousand, one hundred sixty".