38868096 has 64 divisors (see below), whose sum is σ = 104186880. Its totient is φ = 12837888.

The previous prime is 38868073. The next prime is 38868097. The reversal of 38868096 is 69086883.

38868096 = 489² + 490² + ... + 615².

It is a tau number, because it is divible by the number of its divisors (64).

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

It is not an unprimeable number, because it can be changed into a prime (38868097) by changing a digit.

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, 48370 + ... + 49166.

It is an arithmetic number, because the mean of its divisors is an integer number (1627920).

Almost surely, 2^38868096 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 38868096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52093440).

38868096 is an abundant number, since it is smaller than the sum of its proper divisors (65318784).

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

38868096 is a wasteful number, since it uses less digits than its factorization.

38868096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 929 counting only the distinct ones).

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

The square root of 38868096 is about 6234.4282817272. The cubic root of 38868096 is about 338.7383925072.

The spelling of 38868096 in words is "thirty-eight million, eight hundred sixty-eight thousand, ninety-six".