3338438042880 has 432 divisors, whose sum is σ = 12102048189504. Its totient is φ = 881064345600.

The previous prime is 3338438042869. The next prime is 3338438042993. The reversal of 3338438042880 is 882408348333.

3338438042880 is a `hidden beast` number, since 3 + 33 + 84 + 38 + 0 + 428 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×3338438042880² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30115555 + ... + 30226205.

Almost surely, 2^{3338438042880} is an apocalyptic number.

3338438042880 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 3338438042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6051024094752).

3338438042880 is an abundant number, since it is smaller than the sum of its proper divisors (8763610146624).

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

3338438042880 is an equidigital number, since it uses as much as digits as its factorization.

3338438042880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110784 (or 110758 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 3338438042880 in words is "three trillion, three hundred thirty-eight billion, four hundred thirty-eight million, forty-two thousand, eight hundred eighty".