38827414080 has 336 divisors, whose sum is σ = 164370495744. Its totient is φ = 8192102400.

The previous prime is 38827414019. The next prime is 38827414123. The reversal of 38827414080 is 8041472883.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188005 + ... + 336155.

It is an arithmetic number, because the mean of its divisors is an integer number (489197904).

Almost surely, 2^38827414080 is an apocalyptic number.

38827414080 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 38827414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82185247872).

38827414080 is an abundant number, since it is smaller than the sum of its proper divisors (125543081664).

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

38827414080 is a wasteful number, since it uses less digits than its factorization.

38827414080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148194 (or 148181 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 38827414080 in words is "thirty-eight billion, eight hundred twenty-seven million, four hundred fourteen thousand, eighty".