3414749820608 has 112 divisors (see below), whose sum is σ = 7821183605760. Its totient is φ = 1448967038976.

The previous prime is 3414749820583. The next prime is 3414749820659. The reversal of 3414749820608 is 8060289474143.

It is a happy number.

3414749820608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22779116 + ... + 22928532.

It is an arithmetic number, because the mean of its divisors is an integer number (69831996480).

Almost surely, 2^{3414749820608} 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 3414749820608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3910591802880).

3414749820608 is an abundant number, since it is smaller than the sum of its proper divisors (4406433785152).

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

3414749820608 is a wasteful number, since it uses less digits than its factorization.

3414749820608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149942 (or 149932 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 56.

The spelling of 3414749820608 in words is "three trillion, four hundred fourteen billion, seven hundred forty-nine million, eight hundred twenty thousand, six hundred eight".