3498936270336 has 960 divisors, whose sum is σ = 12306149856000. Its totient is φ = 945259020288.

The previous prime is 3498936270301. The next prime is 3498936270359. The reversal of 3498936270336 is 6330726398943.

3498936270336 is a `hidden beast` number, since 3 + 4 + 98 + 93 + 62 + 70 + 336 = 666.

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, 1296381115 + ... + 1296383813.

It is an arithmetic number, because the mean of its divisors is an integer number (12818906100).

Almost surely, 2^{3498936270336} is an apocalyptic number.

3498936270336 is a gapful number since it is divisible by the number (36) 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 3498936270336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6153074928000).

3498936270336 is an abundant number, since it is smaller than the sum of its proper divisors (8807213585664).

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

3498936270336 is a wasteful number, since it uses less digits than its factorization.

3498936270336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2839 (or 2820 counting only the distinct ones).

The product of its (nonzero) digits is 105815808, while the sum is 63.

The spelling of 3498936270336 in words is "three trillion, four hundred ninety-eight billion, nine hundred thirty-six million, two hundred seventy thousand, three hundred thirty-six".