38087680 has 88 divisors (see below), whose sum is σ = 94030992. Its totient is φ = 14794752.

The previous prime is 38087669. The next prime is 38087711. The reversal of 38087680 is 8678083.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220074 + ... + 220246.

It is an arithmetic number, because the mean of its divisors is an integer number (1068534).

Almost surely, 2^38087680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47015496).

38087680 is an abundant number, since it is smaller than the sum of its proper divisors (55943312).

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

38087680 is a wasteful number, since it uses less digits than its factorization.

38087680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 38087680 is about 6171.5216924191. The cubic root of 38087680 is about 336.4559192530.

The spelling of 38087680 in words is "thirty-eight million, eighty-seven thousand, six hundred eighty".