338938062660 has 192 divisors, whose sum is σ = 1088483235840. Its totient is φ = 87493271040.

The previous prime is 338938062647. The next prime is 338938062679. The reversal of 338938062660 is 66260839833.

338938062660 is a `hidden beast` number, since 3 + 3 + 8 + 9 + 3 + 8 + 0 + 626 + 6 + 0 = 666.

It is a super-2 number, since 2×338938062660² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 338938062597 and 338938062606.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3893005 + ... + 3979115.

It is an arithmetic number, because the mean of its divisors is an integer number (5669183520).

Almost surely, 2^338938062660 is an apocalyptic number.

338938062660 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 338938062660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544241617920).

338938062660 is an abundant number, since it is smaller than the sum of its proper divisors (749545173180).

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

338938062660 is a wasteful number, since it uses less digits than its factorization.

338938062660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86363 (or 86355 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 338938062660 in words is "three hundred thirty-eight billion, nine hundred thirty-eight million, sixty-two thousand, six hundred sixty".