38078280 has 144 divisors (see below), whose sum is σ = 131056380. Its totient is φ = 9586944.

The previous prime is 38078279. The next prime is 38078281. The reversal of 38078280 is 8287083.

It is an interprime number because it is at equal distance from previous prime (38078279) and next prime (38078281).

It can be written as a sum of positive squares in 2 ways, for example, as 36505764 + 1572516 = 6042^2 + 1254^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (38078281) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 129814 + ... + 130106.

Almost surely, 2^38078280 is an apocalyptic number.

38078280 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 38078280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65528190).

38078280 is an abundant number, since it is smaller than the sum of its proper divisors (92978100).

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

38078280 is a wasteful number, since it uses less digits than its factorization.

38078280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 38078280 is about 6170.7600828423. The cubic root of 38078280 is about 336.4282379848.

The spelling of 38078280 in words is "thirty-eight million, seventy-eight thousand, two hundred eighty".