338374049280 has 640 divisors, whose sum is σ = 1173753732096. Its totient is φ = 82850611200.

The previous prime is 338374049267. The next prime is 338374049281. The reversal of 338374049280 is 82940473833.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×338374049280² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338374049281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1603668375 + ... + 1603668585.

Almost surely, 2^338374049280 is an apocalyptic number.

338374049280 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 338374049280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586876866048).

338374049280 is an abundant number, since it is smaller than the sum of its proper divisors (835379682816).

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

338374049280 is a wasteful number, since it uses less digits than its factorization.

338374049280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 338374049280 in words is "three hundred thirty-eight billion, three hundred seventy-four million, forty-nine thousand, two hundred eighty".