38354116320 has 288 divisors, whose sum is σ = 141210669600. Its totient is φ = 9423654912.

The previous prime is 38354116249. The next prime is 38354116327. The reversal of 38354116320 is 2361145383.

38354116320 is a `hidden beast` number, since 3 + 8 + 3 + 5 + 4 + 11 + 632 + 0 = 666.

38354116320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38354116327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12334926 + ... + 12338034.

It is an arithmetic number, because the mean of its divisors is an integer number (490314825).

Almost surely, 2^38354116320 is an apocalyptic number.

38354116320 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 38354116320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70605334800).

38354116320 is an abundant number, since it is smaller than the sum of its proper divisors (102856553280).

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

38354116320 is a wasteful number, since it uses less digits than its factorization.

38354116320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3802 (or 3791 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 38354116320 in words is "thirty-eight billion, three hundred fifty-four million, one hundred sixteen thousand, three hundred twenty".