38076854353920 has 960 divisors, whose sum is σ = 140722993152000. Its totient is φ = 9757717954560.

The previous prime is 38076854353873. The next prime is 38076854353921. The reversal of 38076854353920 is 2935345867083.

It is a happy number.

38076854353920 is a `hidden beast` number, since 3 + 8 + 0 + 7 + 68 + 543 + 5 + 3 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (38076854353921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10216487097 + ... + 10216490823.

It is an arithmetic number, because the mean of its divisors is an integer number (146586451200).

Almost surely, 2^{38076854353920} is an apocalyptic number.

38076854353920 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 38076854353920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70361496576000).

38076854353920 is an abundant number, since it is smaller than the sum of its proper divisors (102646138798080).

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

38076854353920 is a wasteful number, since it uses less digits than its factorization.

38076854353920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3949 (or 3917 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 38076854353920 in words is "thirty-eight trillion, seventy-six billion, eight hundred fifty-four million, three hundred fifty-three thousand, nine hundred twenty".