38054080 has 56 divisors (see below), whose sum is σ = 91531440. Its totient is φ = 15068160.

The previous prime is 38054069. The next prime is 38054099. The reversal of 38054080 is 8045083.

It is a super-2 number, since 2×38054080² = 2896226009292800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34335 + ... + 35425.

It is an arithmetic number, because the mean of its divisors is an integer number (1634490).

Almost surely, 2^38054080 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 38054080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45765720).

38054080 is an abundant number, since it is smaller than the sum of its proper divisors (53477360).

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

38054080 is a wasteful number, since it uses less digits than its factorization.

38054080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 38054080 is about 6168.7989106470. The cubic root of 38054080 is about 336.3569524758.

The spelling of 38054080 in words is "thirty-eight million, fifty-four thousand, eighty".