338920499760 has 80 divisors (see below), whose sum is σ = 1105951119360. Its totient is φ = 85622019840.

The previous prime is 338920499713. The next prime is 338920499777. The reversal of 338920499760 is 67994029833.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×338920499760² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

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 = 338920499694 and 338920499703.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 37157776 + ... + 37166895.

It is an arithmetic number, because the mean of its divisors is an integer number (13824388992).

Almost surely, 2^338920499760 is an apocalyptic number.

338920499760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

338920499760 is an abundant number, since it is smaller than the sum of its proper divisors (767030619600).

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

338920499760 is a wasteful number, since it uses less digits than its factorization.

338920499760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74324706 (or 74324700 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 60.

The spelling of 338920499760 in words is "three hundred thirty-eight billion, nine hundred twenty million, four hundred ninety-nine thousand, seven hundred sixty".