38709478229760 has 1512 divisors, whose sum is σ = 154231997847984. Its totient is φ = 9294532116480.

The previous prime is 38709478229749. The next prime is 38709478229809. The reversal of 38709478229760 is 6792287490783.

38709478229760 is a `hidden beast` number, since 3 + 8 + 7 + 0 + 9 + 478 + 2 + 2 + 97 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 6465585487 + ... + 6465591473.

It is an arithmetic number, because the mean of its divisors is an integer number (102005289582).

Almost surely, 2^{38709478229760} is an apocalyptic number.

38709478229760 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 38709478229760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77115998923992).

38709478229760 is an abundant number, since it is smaller than the sum of its proper divisors (115522519618224).

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

38709478229760 is an equidigital number, since it uses as much as digits as its factorization.

38709478229760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6093 (or 6051 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 38709478229760 in words is "thirty-eight trillion, seven hundred nine billion, four hundred seventy-eight million, two hundred twenty-nine thousand, seven hundred sixty".