38680015610600 has 192 divisors, whose sum is σ = 110963174985600. Its totient is φ = 12210749844480.

The previous prime is 38680015610591. The next prime is 38680015610603. The reversal of 38680015610600 is 601651008683.

It is a super-2 number, since 2×38680015610600² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38680015610603) 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, 4548731 + ... + 9902069.

It is an arithmetic number, because the mean of its divisors is an integer number (577933203050).

Almost surely, 2^{38680015610600} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38680015610600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55481587492800).

38680015610600 is an abundant number, since it is smaller than the sum of its proper divisors (72283159375000).

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

38680015610600 is a wasteful number, since it uses less digits than its factorization.

38680015610600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5353772 (or 5353763 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The spelling of 38680015610600 in words is "thirty-eight trillion, six hundred eighty billion, fifteen million, six hundred ten thousand, six hundred".