38791080 has 96 divisors (see below), whose sum is σ = 126851400. Its totient is φ = 10280448.

The previous prime is 38791079. The next prime is 38791091. The reversal of 38791080 is 8019783.

It can be written as a sum of positive squares in 4 ways, for example, as 19554084 + 19236996 = 4422^2 + 4386^2 .

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

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, 99526 + ... + 99914.

Almost surely, 2^38791080 is an apocalyptic number.

38791080 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 38791080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63425700).

38791080 is an abundant number, since it is smaller than the sum of its proper divisors (88060320).

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

38791080 is a wasteful number, since it uses less digits than its factorization.

38791080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 38791080 is about 6228.2485499537. The cubic root of 38791080 is about 338.5145111515.

The spelling of 38791080 in words is "thirty-eight million, seven hundred ninety-one thousand, eighty".