38728218240000 has 495 divisors, whose sum is σ = 139792792981413. Its totient is φ = 10323542016000.

The previous prime is 38728218239969. The next prime is 38728218240001. The reversal of 38728218240000 is 4281282783.

The square root of 38728218240000 is 6223200.

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

38728218240000 is a `hidden beast` number, since 3 + 8 + 7 + 28 + 218 + 2 + 400 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 26155123467264 + 12573094772736 = 5114208^2 + 3545856^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (38728218240001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 14935678704 + ... + 14935681296.

Almost surely, 2^{38728218240000} is an apocalyptic number.

38728218240000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

38728218240000 is the 6223200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38728218240000

38728218240000 is an abundant number, since it is smaller than the sum of its proper divisors (101064574741413).

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

38728218240000 is an frugal number, since it uses more digits than its factorization.

38728218240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5232 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 38728218240000 in words is "thirty-eight trillion, seven hundred twenty-eight billion, two hundred eighteen million, two hundred forty thousand".