38151680 has 80 divisors (see below), whose sum is σ = 104591520. Its totient is φ = 13074432.

The previous prime is 38151647. The next prime is 38151691. The reversal of 38151680 is 8615183.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 16856 + ... + 18984.

It is an arithmetic number, because the mean of its divisors is an integer number (1307394).

Almost surely, 2^38151680 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 38151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52295760).

38151680 is an abundant number, since it is smaller than the sum of its proper divisors (66439840).

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

38151680 is an equidigital number, since it uses as much as digits as its factorization.

38151680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 38151680 is about 6176.7046230170. The cubic root of 38151680 is about 336.6442665008.

The spelling of 38151680 in words is "thirty-eight million, one hundred fifty-one thousand, six hundred eighty".