1684537344 has 320 divisors, whose sum is σ = 6039792000. Its totient is φ = 452984832.

The previous prime is 1684537333. The next prime is 1684537381. The reversal of 1684537344 is 4437354861.

1684537344 is a `hidden beast` number, since 1 + 6 + 84 + 537 + 34 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1684537344.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99090424 + ... + 99090440.

It is an arithmetic number, because the mean of its divisors is an integer number (18874350).

Almost surely, 2^1684537344 is an apocalyptic number.

1684537344 is a gapful number since it is divisible by the number (14) 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 1684537344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3019896000).

1684537344 is an abundant number, since it is smaller than the sum of its proper divisors (4355254656).

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

1684537344 is an frugal number, since it uses more digits than its factorization.

1684537344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 29 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 1684537344 is about 41043.1156712061. The cubic root of 1684537344 is about 1189.8536514703.

The spelling of 1684537344 in words is "one billion, six hundred eighty-four million, five hundred thirty-seven thousand, three hundred forty-four".