38112480 has 288 divisors, whose sum is σ = 157248000. Its totient is φ = 8211456.

The previous prime is 38112469. The next prime is 38112601. The reversal of 38112480 is 8421183.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×38112480² = 2905122263500800, which contains 22 as substring.

It is a congruent number.

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, 191421 + ... + 191619.

It is an arithmetic number, because the mean of its divisors is an integer number (546000).

Almost surely, 2^38112480 is an apocalyptic number.

38112480 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 38112480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78624000).

38112480 is an abundant number, since it is smaller than the sum of its proper divisors (119135520).

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

38112480 is a wasteful number, since it uses less digits than its factorization.

38112480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 38112480 is about 6173.5305944006. The cubic root of 38112480 is about 336.5289288318.

The spelling of 38112480 in words is "thirty-eight million, one hundred twelve thousand, four hundred eighty".