38868960 has 96 divisors (see below), whose sum is σ = 131876640. Its totient is φ = 9566208.

The previous prime is 38868913. The next prime is 38868971. The reversal of 38868960 is 6986883.

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 3126 + ... + 9354.

It is an arithmetic number, because the mean of its divisors is an integer number (1373715).

Almost surely, 2^38868960 is an apocalyptic number.

38868960 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 38868960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65938320).

38868960 is an abundant number, since it is smaller than the sum of its proper divisors (93007680).

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

38868960 is a wasteful number, since it uses less digits than its factorization.

38868960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6260 (or 6252 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 38868960 is about 6234.4975739830. The cubic root of 38868960 is about 338.7409024304.

The spelling of 38868960 in words is "thirty-eight million, eight hundred sixty-eight thousand, nine hundred sixty".