38206804480 has 160 divisors (see below), whose sum is σ = 101063250288. Its totient is φ = 13762560000.

The previous prime is 38206804423. The next prime is 38206804501. The reversal of 38206804480 is 8440860283.

It can be written as a sum of positive squares in 8 ways, for example, as 4073502976 + 34133301504 = 63824^2 + 184752^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1350480 + ... + 1378480.

Almost surely, 2^38206804480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38206804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50531625144).

38206804480 is an abundant number, since it is smaller than the sum of its proper divisors (62856445808).

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

38206804480 is a wasteful number, since it uses less digits than its factorization.

38206804480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28078 (or 28062 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 43.

The spelling of 38206804480 in words is "thirty-eight billion, two hundred six million, eight hundred four thousand, four hundred eighty".