3498828686760 has 384 divisors, whose sum is σ = 11870870780160. Its totient is φ = 823773265920.

The previous prime is 3498828686741. The next prime is 3498828686831. The reversal of 3498828686760 is 676868288943.

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, 309981837 + ... + 309993123.

It is an arithmetic number, because the mean of its divisors is an integer number (30913725990).

Almost surely, 2^{3498828686760} is an apocalyptic number.

3498828686760 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 3498828686760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5935435390080).

3498828686760 is an abundant number, since it is smaller than the sum of its proper divisors (8372042093400).

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

3498828686760 is a wasteful number, since it uses less digits than its factorization.

3498828686760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11937 (or 11922 counting only the distinct ones).

The product of its (nonzero) digits is 1337720832, while the sum is 75.

The spelling of 3498828686760 in words is "three trillion, four hundred ninety-eight billion, eight hundred twenty-eight million, six hundred eighty-six thousand, seven hundred sixty".