3414683750000 has 640 divisors, whose sum is σ = 9293291834112. Its totient is φ = 1209600000000.

The previous prime is 3414683749969. The next prime is 3414683750029. The reversal of 3414683750000 is 573864143.

It is a super-2 number, since 2×3414683750000² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3414683750000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33808749950 + ... + 33808750050.

Almost surely, 2^{3414683750000} 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 3414683750000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4646645917056).

3414683750000 is an abundant number, since it is smaller than the sum of its proper divisors (5878608084112).

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

3414683750000 is an equidigital number, since it uses as much as digits as its factorization.

3414683750000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The spelling of 3414683750000 in words is "three trillion, four hundred fourteen billion, six hundred eighty-three million, seven hundred fifty thousand".