3397681905024 has 512 divisors, whose sum is σ = 10548625489920. Its totient is φ = 965559091200.

The previous prime is 3397681905017. The next prime is 3397681905073. The reversal of 3397681905024 is 4205091867933.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3327797634 + ... + 3327798654.

It is an arithmetic number, because the mean of its divisors is an integer number (20602784160).

It is a 1-persistent number, because it is pandigital, but 2⋅3397681905024 = 6795363810048 is not.

Almost surely, 2^{3397681905024} is an apocalyptic number.

3397681905024 is a gapful number since it is divisible by the number (34) 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 3397681905024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5274312744960).

3397681905024 is an abundant number, since it is smaller than the sum of its proper divisors (7150943584896).

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

3397681905024 is a wasteful number, since it uses less digits than its factorization.

3397681905024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The spelling of 3397681905024 in words is "three trillion, three hundred ninety-seven billion, six hundred eighty-one million, nine hundred five thousand, twenty-four".