5348337624 has 192 divisors, whose sum is σ = 16821043200. Its totient is φ = 1503698688.

The previous prime is 5348337623. The next prime is 5348337647. The reversal of 5348337624 is 4267338435.

5348337624 is a `hidden beast` number, since 534 + 83 + 37 + 6 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5348337624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5348337623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13964137 + ... + 13964519.

It is an arithmetic number, because the mean of its divisors is an integer number (87609600).

Almost surely, 2^5348337624 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 5348337624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8410521600).

5348337624 is an abundant number, since it is smaller than the sum of its proper divisors (11472705576).

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

5348337624 is a wasteful number, since it uses less digits than its factorization.

5348337624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 767 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The square root of 5348337624 is about 73132.3295403613. The cubic root of 5348337624 is about 1748.7978273019.

The spelling of 5348337624 in words is "five billion, three hundred forty-eight million, three hundred thirty-seven thousand, six hundred twenty-four".