1905734304 has 216 divisors, whose sum is σ = 5840239860. Its totient is φ = 611380224.

The previous prime is 1905734297. The next prime is 1905734351. The reversal of 1905734304 is 4034375091.

It can be written as a sum of positive squares in 2 ways, for example, as 1693157904 + 212576400 = 41148^2 + 14580^2 .

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6088452 + ... + 6088764.

Almost surely, 2^1905734304 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 1905734304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2920119930).

1905734304 is an abundant number, since it is smaller than the sum of its proper divisors (3934505556).

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

1905734304 is an frugal number, since it uses more digits than its factorization.

1905734304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 1905734304 is about 43654.7168585481. The cubic root of 1905734304 is about 1239.8070945145.

It can be divided in two parts, 19057 and 34304, that added together give a square (53361 = 231²).

The spelling of 1905734304 in words is "one billion, nine hundred five million, seven hundred thirty-four thousand, three hundred four".