38388960 has 144 divisors (see below), whose sum is σ = 133739424. Its totient is φ = 10023936.

The previous prime is 38388937. The next prime is 38388967. The reversal of 38388960 is 6988383.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38388967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76069 + ... + 76571.

It is an arithmetic number, because the mean of its divisors is an integer number (928746).

Almost surely, 2^38388960 is an apocalyptic number.

38388960 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 38388960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66869712).

38388960 is an abundant number, since it is smaller than the sum of its proper divisors (95350464).

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

38388960 is a wasteful number, since it uses less digits than its factorization.

38388960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 38388960 is about 6195.8825037278. The cubic root of 38388960 is about 337.3407314363.

The spelling of 38388960 in words is "thirty-eight million, three hundred eighty-eight thousand, nine hundred sixty".