3414281456 has 40 divisors (see below), whose sum is σ = 7006158720. Its totient is φ = 1607345856.

The previous prime is 3414281419. The next prime is 3414281461. The reversal of 3414281456 is 6541824143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

Together with 3591877264 it forms an amicable pair .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15101 + ... + 84003.

It is an arithmetic number, because the mean of its divisors is an integer number (175153968).

Almost surely, 2^3414281456 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 3414281456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3503079360).

3414281456 is an abundant number, since it is smaller than the sum of its proper divisors (3591877264).

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

3414281456 is a wasteful number, since it uses less digits than its factorization.

3414281456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69093 (or 69087 counting only the distinct ones).

The product of its digits is 92160, while the sum is 38.

The square root of 3414281456 is about 58431.8530940103. The cubic root of 3414281456 is about 1505.7970423020.

The spelling of 3414281456 in words is "three billion, four hundred fourteen million, two hundred eighty-one thousand, four hundred fifty-six".