3387844331520 has 384 divisors, whose sum is σ = 11864470101120. Its totient is φ = 818468618240.

The previous prime is 3387844331497. The next prime is 3387844331569. The reversal of 3387844331520 is 251334487833.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3387844331520² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98993452 + ... + 99027668.

It is an arithmetic number, because the mean of its divisors is an integer number (30897057555).

Almost surely, 2^{3387844331520} is an apocalyptic number.

3387844331520 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 3387844331520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5932235050560).

3387844331520 is an abundant number, since it is smaller than the sum of its proper divisors (8476625769600).

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

3387844331520 is a wasteful number, since it uses less digits than its factorization.

3387844331520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34551 (or 34531 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 51.

The spelling of 3387844331520 in words is "three trillion, three hundred eighty-seven billion, eight hundred forty-four million, three hundred thirty-one thousand, five hundred twenty".