38049760 has 96 divisors (see below), whose sum is σ = 104836032. Its totient is φ = 12779520.

The previous prime is 38049731. The next prime is 38049811. The reversal of 38049760 is 6794083.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 59040 + ... + 59680.

It is an arithmetic number, because the mean of its divisors is an integer number (1092042).

Almost surely, 2^38049760 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 38049760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52418016).

38049760 is an abundant number, since it is smaller than the sum of its proper divisors (66786272).

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

38049760 is a wasteful number, since it uses less digits than its factorization.

38049760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 38049760 is about 6168.4487515096. The cubic root of 38049760 is about 336.3442239500.

It can be divided in two parts, 38049 and 760, that added together give a square (38809 = 197²).

The spelling of 38049760 in words is "thirty-eight million, forty-nine thousand, seven hundred sixty".