3404598397056 has 192 divisors, whose sum is σ = 10254904339680. Its totient is φ = 1124258807808.

The previous prime is 3404598397019. The next prime is 3404598397063. The reversal of 3404598397056 is 6507938954043.

3404598397056 is a `hidden beast` number, since 3 + 4 + 0 + 4 + 598 + 39 + 7 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 3404598396984 and 3404598397002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2816640 + ... + 3839616.

Almost surely, 2^{3404598397056} is an apocalyptic number.

3404598397056 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 3404598397056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5127452169840).

3404598397056 is an abundant number, since it is smaller than the sum of its proper divisors (6850305942624).

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

3404598397056 is a wasteful number, since it uses less digits than its factorization.

3404598397056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023113 (or 1023089 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 3404598397056 in words is "three trillion, four hundred four billion, five hundred ninety-eight million, three hundred ninety-seven thousand, fifty-six".