38406060 has 288 divisors, whose sum is σ = 154732032. Its totient is φ = 7464960.

The previous prime is 38406029. The next prime is 38406073. The reversal of 38406060 is 6060483.

38406060 is a modest number, since divided by 6060 gives 3840 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 235539 + ... + 235701.

It is an arithmetic number, because the mean of its divisors is an integer number (537264).

Almost surely, 2^38406060 is an apocalyptic number.

38406060 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 38406060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77366016).

38406060 is an abundant number, since it is smaller than the sum of its proper divisors (116325972).

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

38406060 is a wasteful number, since it uses less digits than its factorization.

38406060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 38406060 is about 6197.2622987897. The cubic root of 38406060 is about 337.3908124162.

The spelling of 38406060 in words is "thirty-eight million, four hundred six thousand, sixty".