38392080 has 80 divisors (see below), whose sum is σ = 119617344. Its totient is φ = 10186240.

The previous prime is 38392073. The next prime is 38392093. The reversal of 38392080 is 8029383.

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

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, 83050 + ... + 83510.

Almost surely, 2^38392080 is an apocalyptic number.

38392080 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 38392080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59808672).

38392080 is an abundant number, since it is smaller than the sum of its proper divisors (81225264).

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

38392080 is a wasteful number, since it uses less digits than its factorization.

38392080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 818 counting only the distinct ones).

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

The square root of 38392080 is about 6196.1342787257. The cubic root of 38392080 is about 337.3498701276.

The spelling of 38392080 in words is "thirty-eight million, three hundred ninety-two thousand, eighty".