38605680 has 160 divisors (see below), whose sum is σ = 135616320. Its totient is φ = 10091520.

The previous prime is 38605673. The next prime is 38605681. The reversal of 38605680 is 8650683.

38605680 is a `hidden beast` number, since 38 + 60 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38605681) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 131614 + ... + 131906.

It is an arithmetic number, because the mean of its divisors is an integer number (847602).

Almost surely, 2^38605680 is an apocalyptic number.

38605680 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 38605680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67808160).

38605680 is an abundant number, since it is smaller than the sum of its proper divisors (97010640).

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

38605680 is a wasteful number, since it uses less digits than its factorization.

38605680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 38605680 is about 6213.3469241625. The cubic root of 38605680 is about 337.9743453563.

38605680 divided by its sum of digits (36) gives a triangular number (1072380 = T₁₄₆₄).

The spelling of 38605680 in words is "thirty-eight million, six hundred five thousand, six hundred eighty".