38014041600 has 360 divisors, whose sum is σ = 137796790560. Its totient is φ = 10006364160.

The previous prime is 38014041599. The next prime is 38014041629. The reversal of 38014041600 is 614041083.

38014041600 is a `hidden beast` number, since 3 + 8 + 0 + 14 + 0 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9098712 + ... + 9102888.

Almost surely, 2^38014041600 is an apocalyptic number.

38014041600 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 38014041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68898395280).

38014041600 is an abundant number, since it is smaller than the sum of its proper divisors (99782748960).

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

38014041600 is a wasteful number, since it uses less digits than its factorization.

38014041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4290 (or 4266 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 38014041600 its reverse (614041083), we get a palindrome (38628082683).

The spelling of 38014041600 in words is "thirty-eight billion, fourteen million, forty-one thousand, six hundred".