38105760 has 192 divisors, whose sum is σ = 149796864. Its totient is φ = 7910400.

The previous prime is 38105759. The next prime is 38105801. The reversal of 38105760 is 6750183.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36445 + ... + 37475.

It is an arithmetic number, because the mean of its divisors is an integer number (780192).

Almost surely, 2^38105760 is an apocalyptic number.

38105760 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 38105760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74898432).

38105760 is an abundant number, since it is smaller than the sum of its proper divisors (111691104).

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

38105760 is a wasteful number, since it uses less digits than its factorization.

38105760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 38105760 is about 6172.9863113407. The cubic root of 38105760 is about 336.5091487202.

The spelling of 38105760 in words is "thirty-eight million, one hundred five thousand, seven hundred sixty".