38774160 has 160 divisors (see below), whose sum is σ = 138384000. Its totient is φ = 9967104.

The previous prime is 38774147. The next prime is 38774171. The reversal of 38774160 is 6147783.

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 31 ways as a sum of consecutive naturals, for example, 62331 + ... + 62949.

It is an arithmetic number, because the mean of its divisors is an integer number (864900).

Almost surely, 2^38774160 is an apocalyptic number.

38774160 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 38774160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69192000).

38774160 is an abundant number, since it is smaller than the sum of its proper divisors (99609840).

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

38774160 is a wasteful number, since it uses less digits than its factorization.

38774160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 38774160 is about 6226.8900745075. The cubic root of 38774160 is about 338.4652859301.

It can be divided in two parts, 387 and 74160, that added together give a palindrome (74547).

The spelling of 38774160 in words is "thirty-eight million, seven hundred seventy-four thousand, one hundred sixty".