3439854240 has 384 divisors, whose sum is σ = 12308889600. Its totient is φ = 804418560.

The previous prime is 3439854191. The next prime is 3439854287. The reversal of 3439854240 is 424589343.

It is a junction number, because it is equal to n+sod(n) for n = 3439854192 and 3439854201.

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, 110963025 + ... + 110963055.

It is an arithmetic number, because the mean of its divisors is an integer number (32054400).

Almost surely, 2^3439854240 is an apocalyptic number.

3439854240 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 3439854240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6154444800).

3439854240 is an abundant number, since it is smaller than the sum of its proper divisors (8869035360).

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

3439854240 is a wasteful number, since it uses less digits than its factorization.

3439854240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 3439854240 is about 58650.2705876111. The cubic root of 3439854240 is about 1509.5471413646.

The spelling of 3439854240 in words is "three billion, four hundred thirty-nine million, eight hundred fifty-four thousand, two hundred forty".