3397437052800 has 768 divisors, whose sum is σ = 13727046412800. Its totient is φ = 720847503360.

The previous prime is 3397437052697. The next prime is 3397437052831. The reversal of 3397437052800 is 82507347933.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83374831 + ... + 83415569.

It is an arithmetic number, because the mean of its divisors is an integer number (17873758350).

Almost surely, 2^{3397437052800} is an apocalyptic number.

3397437052800 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 3397437052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6863523206400).

3397437052800 is an abundant number, since it is smaller than the sum of its proper divisors (10329609360000).

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

3397437052800 is a wasteful number, since it uses less digits than its factorization.

3397437052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40863 (or 40846 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 51.

The spelling of 3397437052800 in words is "three trillion, three hundred ninety-seven billion, four hundred thirty-seven million, fifty-two thousand, eight hundred".