38158080 has 144 divisors (see below), whose sum is σ = 128526720. Its totient is φ = 9621504.

The previous prime is 38158079. The next prime is 38158093. The reversal of 38158080 is 8085183.

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, 72699 + ... + 73221.

Almost surely, 2^38158080 is an apocalyptic number.

38158080 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 38158080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64263360).

38158080 is an abundant number, since it is smaller than the sum of its proper divisors (90368640).

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

38158080 is a wasteful number, since it uses less digits than its factorization.

38158080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 38158080 is about 6177.2226768994. Note that the first 3 decimals coincide. The cubic root of 38158080 is about 336.6630896373.

The spelling of 38158080 in words is "thirty-eight million, one hundred fifty-eight thousand, eighty".