38200649760 has 1344 divisors, whose sum is σ = 172136482560. Its totient is φ = 7793418240.

The previous prime is 38200649759. The next prime is 38200649771. The reversal of 38200649760 is 6794600283.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 626240130 + ... + 626240190.

It is an arithmetic number, because the mean of its divisors is an integer number (128077740).

Almost surely, 2^38200649760 is an apocalyptic number.

38200649760 is a gapful number since it is divisible by the number (30) 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 38200649760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86068241280).

38200649760 is an abundant number, since it is smaller than the sum of its proper divisors (133935832800).

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

38200649760 is a wasteful number, since it uses less digits than its factorization.

38200649760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 38200649760 in words is "thirty-eight billion, two hundred million, six hundred forty-nine thousand, seven hundred sixty".