38368080 has 200 divisors, whose sum is σ = 138276864. Its totient is φ = 9849600.

The previous prime is 38368079. The next prime is 38368103. The reversal of 38368080 is 8086383.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 200785 + ... + 200975.

Almost surely, 2^38368080 is an apocalyptic number.

38368080 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 38368080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69138432).

38368080 is an abundant number, since it is smaller than the sum of its proper divisors (99908784).

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

38368080 is a wasteful number, since it uses less digits than its factorization.

38368080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 38368080 is about 6194.1972845559. The cubic root of 38368080 is about 337.2795597531.

The spelling of 38368080 in words is "thirty-eight million, three hundred sixty-eight thousand, eighty".