38278968 has 128 divisors (see below), whose sum is σ = 124830720. Its totient is φ = 9492480.

The previous prime is 38278963. The next prime is 38278973. The reversal of 38278968 is 86987283.

It is a Cunningham number, because it is equal to 6187²-1.

It is an interprime number because it is at equal distance from previous prime (38278963) and next prime (38278973).

It is a super-2 number, since 2×38278968² = 2930558782290048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 38278968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38278963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36613 + ... + 37643.

It is an arithmetic number, because the mean of its divisors is an integer number (975240).

Almost surely, 2^38278968 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 38278968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62415360).

38278968 is an abundant number, since it is smaller than the sum of its proper divisors (86551752).

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

38278968 is a wasteful number, since it uses less digits than its factorization.

38278968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1073 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The square root of 38278968 is about 6186.9999191854. Note that the first 4 decimals coincide. The cubic root of 38278968 is about 337.0182404929.

The spelling of 38278968 in words is "thirty-eight million, two hundred seventy-eight thousand, nine hundred sixty-eight".