38050099200 has 936 divisors, whose sum is σ = 149732135280. Its totient is φ = 9201254400.

The previous prime is 38050099187. The next prime is 38050099231. The reversal of 38050099200 is 299005083.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 717926374 + ... + 717926426.

It is an arithmetic number, because the mean of its divisors is an integer number (159970230).

Almost surely, 2^38050099200 is an apocalyptic number.

38050099200 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 38050099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74866067640).

38050099200 is an abundant number, since it is smaller than the sum of its proper divisors (111682036080).

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

38050099200 is a wasteful number, since it uses less digits than its factorization.

38050099200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

It can be divided in two parts, 3805009 and 9200, that added together give a square (3814209 = 1953²).

The spelling of 38050099200 in words is "thirty-eight billion, fifty million, ninety-nine thousand, two hundred".