3414245240000 has 280 divisors, whose sum is σ = 9707439624960. Its totient is φ = 1166755968000.

The previous prime is 3414245239931. The next prime is 3414245240009. The reversal of 3414245240000 is 425424143.

It is a tau number, because it is divible by the number of its divisors (280).

It is not an unprimeable number, because it can be changed into a prime (3414245240009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 85940141 + ... + 85979859.

It is an arithmetic number, because the mean of its divisors is an integer number (34669427232).

Almost surely, 2^{3414245240000} 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 3414245240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4853719812480).

3414245240000 is an abundant number, since it is smaller than the sum of its proper divisors (6293194384960).

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

3414245240000 is an equidigital number, since it uses as much as digits as its factorization.

3414245240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40065 (or 40040 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

The spelling of 3414245240000 in words is "three trillion, four hundred fourteen billion, two hundred forty-five million, two hundred forty thousand".