38314080 has 288 divisors, whose sum is σ = 156854880. Its totient is φ = 8709120.

The previous prime is 38314079. The next prime is 38314093. The reversal of 38314080 is 8041383.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211590 + ... + 211770.

It is an arithmetic number, because the mean of its divisors is an integer number (544635).

Almost surely, 2^38314080 is an apocalyptic number.

38314080 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 38314080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78427440).

38314080 is an abundant number, since it is smaller than the sum of its proper divisors (118540800).

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

38314080 is a wasteful number, since it uses less digits than its factorization.

38314080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 38314080 is about 6189.8368314520. The cubic root of 38314080 is about 337.1212541390.

The spelling of 38314080 in words is "thirty-eight million, three hundred fourteen thousand, eighty".