38492160 has 192 divisors, whose sum is σ = 141523200. Its totient is φ = 8749056.

The previous prime is 38492149. The next prime is 38492171. The reversal of 38492160 is 6129483.

It is an interprime number because it is at equal distance from previous prime (38492149) and next prime (38492171).

It is a tau number, because it is divible by the number of its divisors (192).

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, 214951 + ... + 215129.

It is an arithmetic number, because the mean of its divisors is an integer number (737100).

Almost surely, 2^38492160 is an apocalyptic number.

38492160 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 38492160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70761600).

38492160 is an abundant number, since it is smaller than the sum of its proper divisors (103031040).

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

38492160 is a wasteful number, since it uses less digits than its factorization.

38492160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 38492160 is about 6204.2050256258. The cubic root of 38492160 is about 337.6427489423.

The spelling of 38492160 in words is "thirty-eight million, four hundred ninety-two thousand, one hundred sixty".