38103968 has 72 divisors (see below), whose sum is σ = 91929600. Its totient is φ = 15458688.

The previous prime is 38103959. The next prime is 38103973. The reversal of 38103968 is 86930183.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

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 11 ways as a sum of consecutive naturals, for example, 29153 + ... + 30431.

It is an arithmetic number, because the mean of its divisors is an integer number (1276800).

Almost surely, 2^38103968 is an apocalyptic number.

38103968 is a gapful number since it is divisible by the number (38) 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 38103968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45964800).

38103968 is an abundant number, since it is smaller than the sum of its proper divisors (53825632).

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

38103968 is a wasteful number, since it uses less digits than its factorization.

38103968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 38103968 is about 6172.8411610862. The cubic root of 38103968 is about 336.5038736310.

The spelling of 38103968 in words is "thirty-eight million, one hundred three thousand, nine hundred sixty-eight".