1684938304 has 63 divisors (see below), whose sum is σ = 3894748497. Its totient is φ = 721131264.

The previous prime is 1684938293. The next prime is 1684938313. The reversal of 1684938304 is 4038394861.

The square root of 1684938304 is 41048.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1648360000 + 36578304 = 40600^2 + 6048^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2298322 + ... + 2299054.

Almost surely, 2^1684938304 is an apocalyptic number.

1684938304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1684938304 is the 41048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1684938304

1684938304 is an abundant number, since it is smaller than the sum of its proper divisors (2209810193).

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

1684938304 is an frugal number, since it uses more digits than its factorization.

1684938304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The cubic root of 1684938304 is about 1189.9480484817.

The spelling of 1684938304 in words is "one billion, six hundred eighty-four million, nine hundred thirty-eight thousand, three hundred four".