38887680 has 288 divisors, whose sum is σ = 144224640. Its totient is φ = 8847360.

The previous prime is 38887663. The next prime is 38887697. The reversal of 38887680 is 8678883.

It is an interprime number because it is at equal distance from previous prime (38887663) and next prime (38887697).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 948460 + ... + 948500.

It is an arithmetic number, because the mean of its divisors is an integer number (500780).

Almost surely, 2^38887680 is an apocalyptic number.

38887680 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 38887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72112320).

38887680 is an abundant number, since it is smaller than the sum of its proper divisors (105336960).

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

38887680 is a wasteful number, since it uses less digits than its factorization.

38887680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 38887680 is about 6235.9987171262. The cubic root of 38887680 is about 338.7952749678.

The spelling of 38887680 in words is "thirty-eight million, eight hundred eighty-seven thousand, six hundred eighty".