38783280 has 80 divisors (see below), whose sum is σ = 122536800. Its totient is φ = 10143744.

The previous prime is 38783279. The next prime is 38783281. The reversal of 38783280 is 8238783.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (38783279) and next prime (38783281).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (38783281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11196 + ... + 14244.

It is an arithmetic number, because the mean of its divisors is an integer number (1531710).

Almost surely, 2^38783280 is an apocalyptic number.

38783280 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 38783280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61268400).

38783280 is an abundant number, since it is smaller than the sum of its proper divisors (83753520).

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

38783280 is a wasteful number, since it uses less digits than its factorization.

38783280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3118 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 38783280 is about 6227.6223392239. The cubic root of 38783280 is about 338.4918204523.

The spelling of 38783280 in words is "thirty-eight million, seven hundred eighty-three thousand, two hundred eighty".