38486638080 has 800 divisors, whose sum is σ = 154005857280. Its totient is φ = 9106145280.

The previous prime is 38486638063. The next prime is 38486638081. The reversal of 38486638080 is 8083668483.

It is a happy number.

38486638080 is a `hidden beast` number, since 3 + 8 + 486 + 6 + 3 + 80 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38486638081) 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, 107204941 + ... + 107205299.

Almost surely, 2^38486638080 is an apocalyptic number.

38486638080 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 38486638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77002928640).

38486638080 is an abundant number, since it is smaller than the sum of its proper divisors (115519219200).

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

38486638080 is a wasteful number, since it uses less digits than its factorization.

38486638080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 38486638080 in words is "thirty-eight billion, four hundred eighty-six million, six hundred thirty-eight thousand, eighty".