38445360 has 80 divisors (see below), whose sum is σ = 125468160. Its totient is φ = 9711360.

The previous prime is 38445353. The next prime is 38445431. The reversal of 38445360 is 6354483.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345 + ... + 8775.

It is an arithmetic number, because the mean of its divisors is an integer number (1568352).

Almost surely, 2^38445360 is an apocalyptic number.

38445360 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 38445360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62734080).

38445360 is an abundant number, since it is smaller than the sum of its proper divisors (87022800).

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

38445360 is a wasteful number, since it uses less digits than its factorization.

38445360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8466 (or 8460 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 38445360 is about 6200.4322429973. The cubic root of 38445360 is about 337.5058544938.

The spelling of 38445360 in words is "thirty-eight million, four hundred forty-five thousand, three hundred sixty".