38503968 has 48 divisors (see below), whose sum is σ = 102372480. Its totient is φ = 12669696.

The previous prime is 38503957. The next prime is 38503979. The reversal of 38503968 is 86930583.

It is an interprime number because it is at equal distance from previous prime (38503957) and next prime (38503979).

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5046 + ... + 10122.

It is an arithmetic number, because the mean of its divisors is an integer number (2132760).

Almost surely, 2^38503968 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 38503968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51186240).

38503968 is an abundant number, since it is smaller than the sum of its proper divisors (63868512).

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

38503968 is a wasteful number, since it uses less digits than its factorization.

38503968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5169 (or 5161 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 38503968 is about 6205.1565653092. The cubic root of 38503968 is about 337.6772709330.

The spelling of 38503968 in words is "thirty-eight million, five hundred three thousand, nine hundred sixty-eight".