38567880 has 256 divisors, whose sum is σ = 143942400. Its totient is φ = 9123840.

The previous prime is 38567873. The next prime is 38567897. The reversal of 38567880 is 8876583.

38567880 is a `hidden beast` number, since 3 + 8 + 567 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 575607 + ... + 575673.

It is an arithmetic number, because the mean of its divisors is an integer number (562275).

Almost surely, 2^38567880 is an apocalyptic number.

38567880 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 38567880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71971200).

38567880 is an abundant number, since it is smaller than the sum of its proper divisors (105374520).

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

38567880 is a wasteful number, since it uses less digits than its factorization.

38567880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 38567880 is about 6210.3043403685. The cubic root of 38567880 is about 337.8640023348.

It can be divided in two parts, 385 and 67880, that added together give a triangular number (68265 = T₃₆₉).

The spelling of 38567880 in words is "thirty-eight million, five hundred sixty-seven thousand, eight hundred eighty".