3404297263104 has 288 divisors, whose sum is σ = 10072637789760. Its totient is φ = 1107338969088.

The previous prime is 3404297263093. The next prime is 3404297263151. The reversal of 3404297263104 is 4013627924043.

3404297263104 is a `hidden beast` number, since 3 + 4 + 0 + 4 + 2 + 9 + 7 + 2 + 631 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 3404297263104.

It is a congruent number.

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, 132126127 + ... + 132151889.

It is an arithmetic number, because the mean of its divisors is an integer number (34974436770).

Almost surely, 2^{3404297263104} 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 3404297263104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5036318894880).

3404297263104 is an abundant number, since it is smaller than the sum of its proper divisors (6668340526656).

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

3404297263104 is a wasteful number, since it uses less digits than its factorization.

3404297263104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25965 (or 25942 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 3404297263104 in words is "three trillion, four hundred four billion, two hundred ninety-seven million, two hundred sixty-three thousand, one hundred four".