3400098648912 has 240 divisors, whose sum is σ = 10952798583168. Its totient is φ = 964523704320.

The previous prime is 3400098648833. The next prime is 3400098648953. The reversal of 3400098648912 is 2198468900043.

3400098648912 is a `hidden beast` number, since 3 + 400 + 0 + 98 + 64 + 8 + 91 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82886487 + ... + 82927497.

Almost surely, 2^{3400098648912} 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 3400098648912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5476399291584).

3400098648912 is an abundant number, since it is smaller than the sum of its proper divisors (7552699934256).

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

3400098648912 is a wasteful number, since it uses less digits than its factorization.

3400098648912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41618 (or 41609 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 3400098648912 in words is "three trillion, four hundred billion, ninety-eight million, six hundred forty-eight thousand, nine hundred twelve".