38900461824 has 243 divisors, whose sum is σ = 130694043207. Its totient is φ = 11095483392.

The previous prime is 38900461793. The next prime is 38900461841. The reversal of 38900461824 is 42816400983.

It is a happy number.

The square root of 38900461824 is 197232.

It is a perfect power (a square), and thus also a powerful number.

38900461824 is a `hidden beast` number, since 3 + 8 + 9 + 0 + 0 + 4 + 618 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 38900461824.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 66269659 + ... + 66270245.

Almost surely, 2^38900461824 is an apocalyptic number.

38900461824 is the 197232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38900461824

38900461824 is an abundant number, since it is smaller than the sum of its proper divisors (91793581383).

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

38900461824 is an frugal number, since it uses more digits than its factorization.

38900461824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 38900461824 in words is "thirty-eight billion, nine hundred million, four hundred sixty-one thousand, eight hundred twenty-four".