38770375680 has 704 divisors, whose sum is σ = 145261670400. Its totient is φ = 9794027520.

The previous prime is 38770375673. The next prime is 38770375681. The reversal of 38770375680 is 8657307783.

38770375680 is a `hidden beast` number, since 3 + 8 + 7 + 70 + 3 + 7 + 568 + 0 = 666.

It is a super-3 number, since 3×38770375680³ (a number of 33 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38770375681) 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, 355691466 + ... + 355691574.

It is an arithmetic number, because the mean of its divisors is an integer number (206337600).

Almost surely, 2^38770375680 is an apocalyptic number.

38770375680 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 38770375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72630835200).

38770375680 is an abundant number, since it is smaller than the sum of its proper divisors (106491294720).

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

38770375680 is a wasteful number, since it uses less digits than its factorization.

38770375680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 38770375680 in words is "thirty-eight billion, seven hundred seventy million, three hundred seventy-five thousand, six hundred eighty".