3414856410744 has 256 divisors, whose sum is σ = 9481752000000. Its totient is φ = 1020528875520.

The previous prime is 3414856410737. The next prime is 3414856410761. The reversal of 3414856410744 is 4470146584143.

3414856410744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3414856410744² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 272289114 + ... + 272301654.

It is an arithmetic number, because the mean of its divisors is an integer number (37038093750).

Almost surely, 2^{3414856410744} 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 3414856410744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4740876000000).

3414856410744 is an abundant number, since it is smaller than the sum of its proper divisors (6066895589256).

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

3414856410744 is a wasteful number, since it uses less digits than its factorization.

3414856410744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13006 (or 13002 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 51.

The spelling of 3414856410744 in words is "three trillion, four hundred fourteen billion, eight hundred fifty-six million, four hundred ten thousand, seven hundred forty-four".