338617758783780 has 288 divisors, whose sum is σ = 1214498210365440. Its totient is φ = 74720521451520.

The previous prime is 338617758783769. The next prime is 338617758783823. The reversal of 338617758783780 is 87387857716833.

338617758783780 is a `hidden beast` number, since 3 + 3 + 8 + 6 + 177 + 5 + 8 + 78 + 378 + 0 = 666.

It is a super-2 number, since 2×338617758783780² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 338617758783780.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 308104840 + ... + 309201920.

It is an arithmetic number, because the mean of its divisors is an integer number (4217007674880).

Almost surely, 2^{338617758783780} is an apocalyptic number.

338617758783780 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 338617758783780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607249105182720).

338617758783780 is an abundant number, since it is smaller than the sum of its proper divisors (875880451581660).

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

338617758783780 is a wasteful number, since it uses less digits than its factorization.

338617758783780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105579 (or 1105574 counting only the distinct ones).

The product of its (nonzero) digits is 7965941760, while the sum is 81.

The spelling of 338617758783780 in words is "three hundred thirty-eight trillion, six hundred seventeen billion, seven hundred fifty-eight million, seven hundred eighty-three thousand, seven hundred eighty".