338276667840 has 224 divisors, whose sum is σ = 1145894770944. Its totient is φ = 84252180480.

The previous prime is 338276667829. The next prime is 338276667851. The reversal of 338276667840 is 48766672833.

It is an interprime number because it is at equal distance from previous prime (338276667829) and next prime (338276667851).

It is a super-2 number, since 2×338276667840² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2058807 + ... + 2217033.

It is an arithmetic number, because the mean of its divisors is an integer number (5115601656).

Almost surely, 2^338276667840 is an apocalyptic number.

338276667840 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 338276667840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572947385472).

338276667840 is an abundant number, since it is smaller than the sum of its proper divisors (807618103104).

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

338276667840 is a wasteful number, since it uses less digits than its factorization.

338276667840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158395 (or 158385 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 60.

The spelling of 338276667840 in words is "three hundred thirty-eight billion, two hundred seventy-six million, six hundred sixty-seven thousand, eight hundred forty".