38180368 has 60 divisors (see below), whose sum is σ = 82226880. Its totient is φ = 17138176.

The previous prime is 38180357. The next prime is 38180371. The reversal of 38180368 is 86308183.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106173 + ... + 106531.

It is an arithmetic number, because the mean of its divisors is an integer number (1370448).

Almost surely, 2^38180368 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 38180368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41113440).

38180368 is an abundant number, since it is smaller than the sum of its proper divisors (44046512).

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

38180368 is a wasteful number, since it uses less digits than its factorization.

38180368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 38180368 is about 6179.0264605357. The cubic root of 38180368 is about 336.7286247873.

The spelling of 38180368 in words is "thirty-eight million, one hundred eighty thousand, three hundred sixty-eight".