38335360 has 128 divisors (see below), whose sum is σ = 107712000. Its totient is φ = 12773376.

The previous prime is 38335337. The next prime is 38335373. The reversal of 38335360 is 6353383.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 192541 + ... + 192739.

It is an arithmetic number, because the mean of its divisors is an integer number (841500).

Almost surely, 2^38335360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38335360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53856000).

38335360 is an abundant number, since it is smaller than the sum of its proper divisors (69376640).

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

38335360 is a wasteful number, since it uses less digits than its factorization.

38335360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 31.

The square root of 38335360 is about 6191.5555396039. Note that the first 4 decimals coincide. The cubic root of 38335360 is about 337.1836560248.

The spelling of 38335360 in words is "thirty-eight million, three hundred thirty-five thousand, three hundred sixty".