4354837344 has 480 divisors, whose sum is σ = 15572874240. Its totient is φ = 1175731200.

The previous prime is 4354837321. The next prime is 4354837349. The reversal of 4354837344 is 4437384534.

4354837344 is a `hidden beast` number, since 43 + 548 + 37 + 34 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4354837344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4354837349) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11490147 + ... + 11490525.

It is an arithmetic number, because the mean of its divisors is an integer number (32443488).

Almost surely, 2^4354837344 is an apocalyptic number.

4354837344 is a gapful number since it is divisible by the number (44) 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 4354837344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7786437120).

4354837344 is an abundant number, since it is smaller than the sum of its proper divisors (11218036896).

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

4354837344 is a wasteful number, since it uses less digits than its factorization.

4354837344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 439 counting only the distinct ones).

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

The square root of 4354837344 is about 65991.1914121877. The cubic root of 4354837344 is about 1633.0167755622.

The spelling of 4354837344 in words is "four billion, three hundred fifty-four million, eight hundred thirty-seven thousand, three hundred forty-four".