38602080 has 144 divisors (see below), whose sum is σ = 143763984. Its totient is φ = 9354240.

The previous prime is 38602013. The next prime is 38602127. The reversal of 38602080 is 8020683.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14622 + ... + 17058.

It is an arithmetic number, because the mean of its divisors is an integer number (998361).

Almost surely, 2^38602080 is an apocalyptic number.

38602080 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 38602080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71881992).

38602080 is an abundant number, since it is smaller than the sum of its proper divisors (105161904).

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

38602080 is a wasteful number, since it uses less digits than its factorization.

38602080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2469 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 38602080 is about 6213.0572184714. The cubic root of 38602080 is about 337.9638396011.

The spelling of 38602080 in words is "thirty-eight million, six hundred two thousand, eighty".