3484357344 has 192 divisors, whose sum is σ = 11298631680. Its totient is φ = 1037422080.

The previous prime is 3484357319. The next prime is 3484357367. The reversal of 3484357344 is 4437534843.

3484357344 is a `hidden beast` number, since 34 + 8 + 4 + 3 + 573 + 44 = 666.

It is a super-2 number, since 2×3484357344² = 24281492201373468672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3484357344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 343189 + ... + 353195.

It is an arithmetic number, because the mean of its divisors is an integer number (58847040).

Almost surely, 2^3484357344 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 3484357344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5649315840).

3484357344 is an abundant number, since it is smaller than the sum of its proper divisors (7814274336).

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

3484357344 is a wasteful number, since it uses less digits than its factorization.

3484357344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10070 (or 10056 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 45.

The square root of 3484357344 is about 59028.4452107626. The cubic root of 3484357344 is about 1516.0291879473.

The spelling of 3484357344 in words is "three billion, four hundred eighty-four million, three hundred fifty-seven thousand, three hundred forty-four".