338004443340 has 72 divisors (see below), whose sum is σ = 1058353715328. Its totient is φ = 87226951680.

The previous prime is 338004443339. The next prime is 338004443341. The reversal of 338004443340 is 43344400833.

It is an interprime number because it is at equal distance from previous prime (338004443339) and next prime (338004443341).

It is a super-2 number, since 2×338004443340² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 338004443295 and 338004443304.

It is not an unprimeable number, because it can be changed into a prime (338004443341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30281557 + ... + 30292716.

Almost surely, 2^338004443340 is an apocalyptic number.

338004443340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

338004443340 is an abundant number, since it is smaller than the sum of its proper divisors (720349271988).

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

338004443340 is a wasteful number, since it uses less digits than its factorization.

338004443340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60574319 (or 60574314 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The spelling of 338004443340 in words is "three hundred thirty-eight billion, four million, four hundred forty-three thousand, three hundred forty".