3413042293248 has 720 divisors, whose sum is σ = 12204831903264. Its totient is φ = 948736696320.

The previous prime is 3413042293181. The next prime is 3413042293249. The reversal of 3413042293248 is 8423922403143.

3413042293248 is a `hidden beast` number, since 3 + 4 + 130 + 422 + 93 + 2 + 4 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (3413042293249) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 225558643 + ... + 225573773.

Almost surely, 2^{3413042293248} 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 3413042293248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6102415951632).

3413042293248 is an abundant number, since it is smaller than the sum of its proper divisors (8791789610016).

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

3413042293248 is an equidigital number, since it uses as much as digits as its factorization.

3413042293248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15215 (or 15180 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 3413042293248 in words is "three trillion, four hundred thirteen billion, forty-two million, two hundred ninety-three thousand, two hundred forty-eight".