3406843440 has 960 divisors, whose sum is σ = 15988976640. Its totient is φ = 627056640.

The previous prime is 3406843439. The next prime is 3406843459. The reversal of 3406843440 is 443486043.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3406843395 and 3406843404.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20900799 + ... + 20900961.

It is an arithmetic number, because the mean of its divisors is an integer number (16655184).

Almost surely, 2^3406843440 is an apocalyptic number.

3406843440 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 3406843440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7994488320).

3406843440 is an abundant number, since it is smaller than the sum of its proper divisors (12582133200).

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

3406843440 is a wasteful number, since it uses less digits than its factorization.

3406843440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 3406843440 is about 58368.1714635639. The cubic root of 3406843440 is about 1504.7027871203.

The spelling of 3406843440 in words is "three billion, four hundred six million, eight hundred forty-three thousand, four hundred forty".