38781360 has 120 divisors (see below), whose sum is σ = 132525744. Its totient is φ = 10160640.

The previous prime is 38781317. The next prime is 38781373. The reversal of 38781360 is 6318783.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43479 + ... + 44361.

Almost surely, 2^38781360 is an apocalyptic number.

38781360 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 38781360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66262872).

38781360 is an abundant number, since it is smaller than the sum of its proper divisors (93744384).

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

38781360 is a wasteful number, since it uses less digits than its factorization.

38781360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 38781360 is about 6227.4681853864. The cubic root of 38781360 is about 338.4862345828.

The spelling of 38781360 in words is "thirty-eight million, seven hundred eighty-one thousand, three hundred sixty".