38641075200 has 1584 divisors, whose sum is σ = 181091048320. Its totient is φ = 7644119040.

The previous prime is 38641075199. The next prime is 38641075211. The reversal of 38641075200 is 257014683.

38641075200 is a `hidden beast` number, since 3 + 8 + 641 + 0 + 7 + 5 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×38641075200² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 398361552 + ... + 398361648.

Almost surely, 2^38641075200 is an apocalyptic number.

38641075200 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 38641075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90545524160).

38641075200 is an abundant number, since it is smaller than the sum of its proper divisors (142449973120).

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

38641075200 is a wasteful number, since it uses less digits than its factorization.

38641075200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 38641075200 its reverse (257014683), we get a palindrome (38898089883).

The spelling of 38641075200 in words is "thirty-eight billion, six hundred forty-one million, seventy-five thousand, two hundred".