38696160 has 96 divisors (see below), whose sum is σ = 128338560. Its totient is φ = 9773568.

The previous prime is 38696137. The next prime is 38696209. The reversal of 38696160 is 6169683.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 6999 + ... + 11241.

It is an arithmetic number, because the mean of its divisors is an integer number (1336860).

Almost surely, 2^38696160 is an apocalyptic number.

38696160 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 38696160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64169280).

38696160 is an abundant number, since it is smaller than the sum of its proper divisors (89642400).

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

38696160 is a wasteful number, since it uses less digits than its factorization.

38696160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4280 (or 4272 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 38696160 is about 6220.6237629357. The cubic root of 38696160 is about 338.2381757892.

The spelling of 38696160 in words is "thirty-eight million, six hundred ninety-six thousand, one hundred sixty".