1680038304 has 288 divisors, whose sum is σ = 5444070912. Its totient is φ = 451584000.

The previous prime is 1680038291. The next prime is 1680038329. The reversal of 1680038304 is 4038300861.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5978644 + ... + 5978924.

It is an arithmetic number, because the mean of its divisors is an integer number (18903024).

Almost surely, 2^1680038304 is an apocalyptic number.

1680038304 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 1680038304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2722035456).

1680038304 is an abundant number, since it is smaller than the sum of its proper divisors (3764032608).

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

1680038304 is a wasteful number, since it uses less digits than its factorization.

1680038304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 1680038304 is about 40988.2703221300. The cubic root of 1680038304 is about 1188.7934252453.

The spelling of 1680038304 in words is "one billion, six hundred eighty million, thirty-eight thousand, three hundred four".