38764707840 has 640 divisors, whose sum is σ = 146160875520. Its totient is φ = 9809952768.

The previous prime is 38764707781. The next prime is 38764707841. The reversal of 38764707840 is 4870746783.

38764707840 is a `hidden beast` number, since 38 + 76 + 470 + 78 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (38764707841) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 305233857 + ... + 305233983.

It is an arithmetic number, because the mean of its divisors is an integer number (228376368).

Almost surely, 2^38764707840 is an apocalyptic number.

38764707840 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 38764707840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73080437760).

38764707840 is an abundant number, since it is smaller than the sum of its proper divisors (107396167680).

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

38764707840 is an equidigital number, since it uses as much as digits as its factorization.

38764707840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 38764707840 in words is "thirty-eight billion, seven hundred sixty-four million, seven hundred seven thousand, eight hundred forty".