38078160 has 80 divisors (see below), whose sum is σ = 122135040. Its totient is φ = 9802240.

The previous prime is 38078153. The next prime is 38078219. The reversal of 38078160 is 6187083.

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

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, 4225 + ... + 9695.

It is an arithmetic number, because the mean of its divisors is an integer number (1526688).

Almost surely, 2^38078160 is an apocalyptic number.

38078160 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 38078160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61067520).

38078160 is an abundant number, since it is smaller than the sum of its proper divisors (84056880).

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

38078160 is a wasteful number, since it uses less digits than its factorization.

38078160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5516 (or 5510 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 38078160 is about 6170.7503595592. The cubic root of 38078160 is about 336.4278845774.

The spelling of 38078160 in words is "thirty-eight million, seventy-eight thousand, one hundred sixty".