38006352800 has 72 divisors (see below), whose sum is σ = 99920190636. Its totient is φ = 14033111040.

The previous prime is 38006352793. The next prime is 38006352803. The reversal of 38006352800 is 825360083.

38006352800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 17709221776 + 20297131024 = 133076^2 + 142468^2 .

It is not an unprimeable number, because it can be changed into a prime (38006352803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1816829 + ... + 1837628.

Almost surely, 2^38006352800 is an apocalyptic number.

It is an amenable number.

38006352800 is an abundant number, since it is smaller than the sum of its proper divisors (61913837836).

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

38006352800 is a wasteful number, since it uses less digits than its factorization.

38006352800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3654490 (or 3654477 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 38006352800 in words is "thirty-eight billion, six million, three hundred fifty-two thousand, eight hundred".