38297753988300 has 144 divisors (see below), whose sum is σ = 123147886780800. Its totient is φ = 10210436712000.

The previous prime is 38297753988289. The next prime is 38297753988337. The reversal of 38297753988300 is 388935779283.

38297753988300 is a `hidden beast` number, since 3 + 8 + 2 + 9 + 7 + 7 + 539 + 8 + 83 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10424311 + ... + 13611089.

It is an arithmetic number, because the mean of its divisors is an integer number (855193658200).

Almost surely, 2^{38297753988300} is an apocalyptic number.

38297753988300 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 38297753988300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61573943390400).

38297753988300 is an abundant number, since it is smaller than the sum of its proper divisors (84850132792500).

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

38297753988300 is a wasteful number, since it uses less digits than its factorization.

38297753988300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3191253 (or 3191240 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 38297753988300 in words is "thirty-eight trillion, two hundred ninety-seven billion, seven hundred fifty-three million, nine hundred eighty-eight thousand, three hundred".