3414396666240 has 1536 divisors, whose sum is σ = 14638103101440. Its totient is φ = 715680645120.

The previous prime is 3414396666221. The next prime is 3414396666251. The reversal of 3414396666240 is 426666934143.

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 191 ways as a sum of consecutive naturals, for example, 5310103359 + ... + 5310104001.

It is an arithmetic number, because the mean of its divisors is an integer number (9530015040).

Almost surely, 2^{3414396666240} is an apocalyptic number.

3414396666240 is a gapful number since it is divisible by the number (30) 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 3414396666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7319051550720).

3414396666240 is an abundant number, since it is smaller than the sum of its proper divisors (11223706435200).

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

3414396666240 is a wasteful number, since it uses less digits than its factorization.

3414396666240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 54.

The spelling of 3414396666240 in words is "three trillion, four hundred fourteen billion, three hundred ninety-six million, six hundred sixty-six thousand, two hundred forty".