38350771200 has 1188 divisors, whose sum is σ = 165516162240. Its totient is φ = 8453652480.

The previous prime is 38350771171. The next prime is 38350771211. The reversal of 38350771200 is 217705383.

38350771200 is a `hidden beast` number, since 3 + 83 + 507 + 71 + 2 + 0 + 0 = 666.

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 107 ways as a sum of consecutive naturals, for example, 485452761 + ... + 485452839.

Almost surely, 2^38350771200 is an apocalyptic number.

38350771200 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 38350771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82758081120).

38350771200 is an abundant number, since it is smaller than the sum of its proper divisors (127165391040).

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

38350771200 is a wasteful number, since it uses less digits than its factorization.

38350771200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 38350771200 in words is "thirty-eight billion, three hundred fifty million, seven hundred seventy-one thousand, two hundred".