38181456 has 100 divisors (see below), whose sum is σ = 117076212. Its totient is φ = 11971584.

The previous prime is 38181443. The next prime is 38181467. The reversal of 38181456 is 65418183.

It can be written as a sum of positive squares in 2 ways, for example, as 23619600 + 14561856 = 4860^2 + 3816^2 .

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 38181456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21166 + ... + 22898.

Almost surely, 2^38181456 is an apocalyptic number.

38181456 is a gapful number since it is divisible by the number (36) 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 38181456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58538106).

38181456 is an abundant number, since it is smaller than the sum of its proper divisors (78894756).

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

38181456 is a wasteful number, since it uses less digits than its factorization.

38181456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770 (or 1755 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 38181456 is about 6179.1144996674. The cubic root of 38181456 is about 336.7318232658.

The spelling of 38181456 in words is "thirty-eight million, one hundred eighty-one thousand, four hundred fifty-six".