3462839424 has 384 divisors, whose sum is σ = 11695320000. Its totient is φ = 1010257920.

The previous prime is 3462839381. The next prime is 3462839437. The reversal of 3462839424 is 4249382643.

3462839424 is a `hidden beast` number, since 3 + 462 + 83 + 94 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3462839424.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9922002 + ... + 9922350.

Almost surely, 2^3462839424 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 3462839424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5847660000).

3462839424 is an abundant number, since it is smaller than the sum of its proper divisors (8232480576).

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

3462839424 is a wasteful number, since it uses less digits than its factorization.

3462839424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 394 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 3462839424 is about 58845.8955578042. The cubic root of 3462839424 is about 1512.9019561785.

The spelling of 3462839424 in words is "three billion, four hundred sixty-two million, eight hundred thirty-nine thousand, four hundred twenty-four".