3497682817728 has 336 divisors, whose sum is σ = 11310797352960. Its totient is φ = 1059106752000.

The previous prime is 3497682817709. The next prime is 3497682817753. The reversal of 3497682817728 is 8277182867943.

It is a happy number.

3497682817728 is a `hidden beast` number, since 3 + 497 + 68 + 2 + 8 + 1 + 7 + 72 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 315926433 + ... + 315937503.

It is an arithmetic number, because the mean of its divisors is an integer number (33663087360).

Almost surely, 2^{3497682817728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3497682817728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5655398676480).

3497682817728 is an abundant number, since it is smaller than the sum of its proper divisors (7813114535232).

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

3497682817728 is a wasteful number, since it uses less digits than its factorization.

3497682817728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12625 (or 12598 counting only the distinct ones).

The product of its digits is 455196672, while the sum is 72.

The spelling of 3497682817728 in words is "three trillion, four hundred ninety-seven billion, six hundred eighty-two million, eight hundred seventeen thousand, seven hundred twenty-eight".