38401375647660 has 192 divisors, whose sum is σ = 111238461734400. Its totient is φ = 9892426844160.

The previous prime is 38401375647629. The next prime is 38401375647667. The reversal of 38401375647660 is 6674657310483.

38401375647660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 38401375647594 and 38401375647603.

It is not an unprimeable number, because it can be changed into a prime (38401375647667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89355495 + ... + 89784225.

It is an arithmetic number, because the mean of its divisors is an integer number (579366988200).

Almost surely, 2^{38401375647660} is an apocalyptic number.

38401375647660 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 38401375647660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55619230867200).

38401375647660 is an abundant number, since it is smaller than the sum of its proper divisors (72837086086740).

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

38401375647660 is a wasteful number, since it uses less digits than its factorization.

38401375647660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429168 (or 429166 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 60.

The spelling of 38401375647660 in words is "thirty-eight trillion, four hundred one billion, three hundred seventy-five million, six hundred forty-seven thousand, six hundred sixty".