338932949760 has 432 divisors, whose sum is σ = 1227177439488. Its totient is φ = 86261760000.

The previous prime is 338932949743. The next prime is 338932949767. The reversal of 338932949760 is 67949239833.

338932949760 is a `hidden beast` number, since 3 + 3 + 89 + 3 + 2 + 9 + 497 + 60 = 666.

It is a super-2 number, since 2×338932949760² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338932949767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26063260 + ... + 26076260.

Almost surely, 2^338932949760 is an apocalyptic number.

338932949760 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 338932949760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613588719744).

338932949760 is an abundant number, since it is smaller than the sum of its proper divisors (888244489728).

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

338932949760 is a wasteful number, since it uses less digits than its factorization.

338932949760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13132 (or 13115 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 338932949760 in words is "three hundred thirty-eight billion, nine hundred thirty-two million, nine hundred forty-nine thousand, seven hundred sixty".